All Stories

  1. Papoulis' sampling theorem: Revisited

    Article • Applied and Computational Harmonic Analysis, May 2023, Elsevier

    Prof. Firdous A. Shah

  2. Quadratic-Phase Hilbert Transform and the Associated Bedrosian Theorem

    Article • Axioms, February 2023, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  3. Fibonacci Wavelet Method for the Numerical Solution of Nonlinear Reaction-Diffusion Equations of Fisher-Type

    Article • Journal of Mathematics, January 2023, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  4. Two-dimensional fractional shearlet transforms in $$L^2({\mathbb {R}}^2)$$

    Article • Fractional Calculus and Applied Analysis, November 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  5. Sampling and multiplicative filtering associated with the quadratic-phase Fourier transform

    Article • Signal Image and Video Processing, November 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  6. Weighted convolutions in the quadratic-phase Fourier domains: Product theorems and applications

    Article • Optik, November 2022, Elsevier

    Prof. Firdous A. Shah

  7. Uncertainty principles for the coupled fractional Wigner distribution

    Article • International Journal of Geometric Methods in Modern Physics, October 2022, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  8. Scaling Wigner Distribution in the Framework of Linear Canonical Transform

    Article • Circuits Systems and Signal Processing, September 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  9. Quadratic-Phase Wave-Packet Transform in L2(R)

    Article • Symmetry, September 2022, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  10. Discrete Quadratic-Phase Fourier Transform: Theory and Convolution Structures

    Article • Entropy, September 2022, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  11. On Quantum Representation of the Linear Canonical Wavelet Transform

    Article • Universe, September 2022, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  12. Clifford-Valued Shearlet Transforms on Cl(P,Q)-Algebras

    Article • Journal of Mathematics, September 2022, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  13. Clifford-valued linear canonical transform: Convolution and uncertainty principles

    Article • Optik, September 2022, Elsevier

    Prof. Firdous A. Shah

  14. Special affine wavelet packets: Theory and applications

    Article • Optik, September 2022, Elsevier

    Prof. Firdous A. Shah

  15. Quantitative uncertainty principles associated with the k$$ k $$‐Hankel wavelet transform on ℝd$$ {\mathbb{R}}^d $$

    Article • Mathematical Methods in the Applied Sciences, August 2022, Wiley

    Prof. Firdous A. Shah

  16. Fibonacci Wavelet Method for the Solution of the Non-Linear Hunter–Saxton Equation

    Article • Applied Sciences, August 2022, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  17. Clifford-Valued Wave-Packet Transform with Applications to Benchmark Signals

    Article • Bulletin of the Malaysian Mathematical Sciences Society, June 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  18. An Interplay of Ridgelet and Linear Canonical Transforms

    Article • Mathematics, June 2022, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  19. An interplay between quadratic-phase Fourier and Zak transforms

    Article • Optik, June 2022, Elsevier

    Prof. Firdous A. Shah

  20. Shift-invariant spaces and dynamical sampling in quadratic-phase Fourier domains

    Article • Optik, June 2022, Elsevier

    Prof. Firdous A. Shah

  21. Quantitative Uncertainty Principles Associated with the Deformed Gabor Transform

    Article • Journal of Mathematics, May 2022, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  22. Explicit construction of wavelet frames on locally compact Abelian groups

    Article • Analysis and Mathematical Physics, May 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  23. Free metaplectic wavelet transform in L2(ℝn)

    Article • International Journal of Wavelets Multiresolution and Information Processing, April 2022, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  24. A new class of uncertainty principles for the Gabor transform

    Article • International Journal of Geometric Methods in Modern Physics, April 2022, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  25. Directional Stockwell transform in L2(ℝn)

    Article • Integral Transforms and Special Functions, April 2022, Taylor & Francis

    Prof. Firdous A. Shah

  26. A numerical scheme based on Gegenbauer wavelets for solving a class of relaxation–oscillation equations of fractional order

    Article • Mathematical Sciences, March 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  27. Clifford-Valued Stockwell Transform and the Associated Uncertainty Principles

    Article • Advances in Applied Clifford Algebras, March 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  28. Toeplitz Operators Associated with the Deformed Windowed Fourier Transform

    Article • Complex Analysis and Operator Theory, March 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  29. Non-separable windowed linear canonical transform

    Article • Optik, February 2022, Elsevier

    Prof. Firdous A. Shah

  30. Quadratic-phase Wigner distribution: Theory and applications

    Article • Optik, February 2022, Elsevier

    Prof. Firdous A. Shah

  31. Special affine multiresolution analysis and the construction of orthonormal wavelets in L2(R)

    Article • Applicable Analysis, January 2022, Taylor & Francis

    Prof. Firdous A. Shah

  32. Short-time special affine Fourier transform for quaternion-valued functions

    Article • Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas, January 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  33. Multi-dimensional linear canonical transform with applications to sampling and multiplicative filtering

    Article • Multidimensional Systems and Signal Processing, January 2022, Springer Science + Business Media

    Prof. Firdous A. Shah

  34. Gegenbauer wavelet quasi‐linearization method for solving fractional population growth model in a closed system

    Article • Mathematical Methods in the Applied Sciences, December 2021, Wiley

    Prof. Firdous A. Shah

  35. Non-Separable Linear Canonical Wavelet Transform

    Article • Symmetry, November 2021, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  36. Short-time quadratic-phase Fourier transform

    Article • Optik, November 2021, Elsevier

    Prof. Firdous A. Shah

  37. A Convolution-Based Shearlet Transform in Free Metaplectic Domains

    Article • Journal of Mathematics, October 2021, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  38. Quadratic‐phase wavelet transform with applications to generalized differential equations

    Article • Mathematical Methods in the Applied Sciences, October 2021, Wiley

    Prof. Firdous A. Shah

  39. Fibonacci wavelet method for solving the time-fractional bioheat transfer model

    Article • Optik, September 2021, Elsevier

    Prof. Firdous A. Shah

  40. Uncertainty principles associated with the directional short-time Fourier transform

    Article • Journal of Mathematical Physics, June 2021, American Institute of Physics

    Prof. Firdous A. Shah

  41. Linear Canonical Wavelet Transform in Quaternion Domains

    Article • Advances in Applied Clifford Algebras, May 2021, Springer Science + Business Media

    Prof. Firdous A. Shah

  42. Bendlet transforms: a mathematical perspective

    Article • Complex Variables and Elliptic Equations, May 2021, Taylor & Francis

    Prof. Firdous A. Shah

  43. Fibonacci wavelet method for solving time-fractional telegraph equations with Dirichlet boundary conditions

    Article • Results in Physics, May 2021, Elsevier

    Prof. Firdous A. Shah

  44. A Fibonacci Wavelet Method for Solving Dual-Phase-Lag Heat Transfer Model in Multi-Layer Skin Tissue during Hyperthermia Treatment

    Article • Energies, April 2021, MDPI AG

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  45. Uncertainty principles for the quadratic‐phase Fourier transforms

    Article • Mathematical Methods in the Applied Sciences, April 2021, Wiley

    Prof. Firdous A. Shah

  46. Fractional nonuniform multiresolution analysis in L2(ℝ)

    Article • Mathematical Methods in the Applied Sciences, March 2021, Wiley

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  47. Generalized wavelet method for solving non-steady heat transfer model of fractional order

    Article • SeMA Journal, March 2021, Springer Science + Business Media

    Prof. Firdous A. Shah

  48. Nonuniform multiresolution analysis associated with linear canonical transform

    Article • Journal of Pseudo-Differential Operators and Applications, February 2021, Springer Science + Business Media

    Prof. Firdous A. Shah

  49. Fractional multiresolution analysis and associated scaling functions in $$L^{2}({\mathbb {R}})$$

    Article • Analysis and Mathematical Physics, February 2021, Springer Science + Business Media

    Prof. Firdous A. Shah

  50. Generalized wavelet method for solving fractional bioheat transfer model during hyperthermia treatment

    Article • International Journal of Wavelets Multiresolution and Information Processing, January 2021, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  51. An Intertwining of Curvelet and Linear Canonical Transforms

    Article • Journal of Mathematics, November 2020, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  52. Biorthogonal wavelets on the spectrum

    Article • Mathematical Methods in the Applied Sciences, November 2020, Wiley

    Dr Neyaz Ah Sheikh, Prof. Firdous A. Shah

  53. A convolution-based special affine wavelet transform

    Article • Integral Transforms and Special Functions, November 2020, Taylor & Francis

    Prof. Firdous A. Shah

  54. A family of convolution-based generalized Stockwell transforms

    Article • Journal of Pseudo-Differential Operators and Applications, August 2020, Springer Science + Business Media

    Prof. Firdous A. Shah

  55. Generalized wavelet quasilinearization method for solving population growth model of fractional order

    Article • Mathematical Methods in the Applied Sciences, May 2020, Wiley

    Prof. Firdous A. Shah, Prof. Dr. Hari Mohan Srivastava

  56. A computational wavelet method for solving dual‐phase‐lag model of bioheat transfer during hyperthermia treatment

    Article • Computational and Mathematical Methods, April 2020, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  57. Linear canonical Stockwell transform

    Article • Journal of Mathematical Analysis and Applications, April 2020, Elsevier

    Prof. Firdous A. Shah

  58. Uncertainty principles for the continuous shearlet transforms in arbitrary space dimensions

    Article • Integral Transforms and Special Functions, January 2020, Taylor & Francis

    Prof. Firdous A. Shah

  59. Windowed special affine Fourier transform

    Article • Journal of Pseudo-Differential Operators and Applications, January 2020, Springer Science + Business Media

    Prof. Firdous A. Shah

  60. Non-isotropic angular Stockwell transform and the associated uncertainty principles

    Article • Applicable Analysis, May 2019, Taylor & Francis

    Azhar Y. Tantary , Prof. Firdous A. Shah

  61. Inequalities for nonuniform wavelet frames

    Article • Georgian Mathematical Journal, May 2019, De Gruyter

    Prof. Firdous A. Shah

  62. Solution of fractional oscillator equations using ultraspherical wavelets

    Article • International Journal of Geometric Methods in Modern Physics, May 2019, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  63. An Application of the Gegenbauer Wavelet Method for the Numerical Solution of the Fractional Bagley-Torvik Equation

    Article • Russian Journal of Mathematical Physics, January 2019, Pleiades Publishing Ltd

    Prof. Firdous A. Shah

  64. AB-wavelet frames in L2(Rn)

    Article • Filomat, January 2019, National Library of Serbia

    Prof. Firdous A. Shah

  65. Scaling functions on the spectrum

    Article • Acta Universitatis Sapientiae Mathematica, December 2018, De Gruyter

    Abdullah Abdullah, Prof. Firdous A. Shah

  66. Quaternionic shearlet transform

    Article • Optik, December 2018, Elsevier

    Prof. Firdous A. Shah

  67. Duals and multipliers of controlled frames in Hilbert spaces

    Article • International Journal of Wavelets Multiresolution and Information Processing, October 2018, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  68. Wavelet neural network model for network intrusion detection system

    Article • International Journal of Information Technology, July 2018, Springer Science + Business Media

    Prof. Firdous A. Shah

  69. Fractional wave packet systems in L2(R)

    Article • Journal of Mathematical Physics, July 2018, American Institute of Physics

    Prof. Firdous A. Shah

  70. Fractional wavelet frames in L2(ℝ)

    Article • Fractional Calculus and Applied Analysis, April 2018, De Gruyter

    Prof. Firdous A. Shah

  71. Gabor frames on non-Archimedean fields

    Article • International Journal of Geometric Methods in Modern Physics, April 2018, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  72. Polar Wavelet Transform and the Associated Uncertainty Principles

    Article • International Journal of Theoretical Physics, February 2018, Springer Science + Business Media

    Prof. Firdous A. Shah

  73. Frames associated with shift-invariant spaces on local fields

    Article • Filomat, January 2018, National Library of Serbia

    Prof. Firdous A. Shah

  74. Wavelet Neural Network Model for Yield Spread Forecasting

    Article • Mathematics, November 2017, MDPI AG

    Prof. Firdous A. Shah

  75. Wave packet systems on local fields

    Article • Journal of Geometry and Physics, October 2017, Elsevier

    Prof. Firdous A. Shah

  76. Generalized wavelet collocation method for solving fractional relaxation–oscillation equation arising in fluid mechanics

    Article • International Journal of Computational Materials Science and Engineering, June 2017, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  77. Minimum-Energy Wavelet Frames on Local Fields

    Article • International Journal of Applied and Computational Mathematics, January 2017, Springer Science + Business Media

    Prof. Firdous A. Shah

  78. Polyphase matrix characterization of framelets on local fields of positive characteristic

    Article • Acta Universitatis Sapientiae Mathematica, January 2017, De Gruyter

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  79. An Efficient Wavelet-Based Collocation Method for Handling Singularly Perturbed Boundary-Value Problems in Fluid Mechanics

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2017, De Gruyter

    Prof. Firdous A. Shah

  80. Nonuniform wavelet packets on local fields of positive characteristic

    Article • Filomat, January 2017, National Library of Serbia

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  81. The Fourier Transforms

    Article • January 2017, Springer Science + Business Media

    Prof. Firdous A. Shah

  82. The Time-Frequency Analysis

    Article • January 2017, Springer Science + Business Media

    Prof. Firdous A. Shah

  83. The Wavelet Transforms

    Article • January 2017, Springer Science + Business Media

    Prof. Firdous A. Shah

  84. Lecture Notes on Wavelet Transforms

    Article • January 2017, Springer Science + Business Media

    Prof. Firdous A. Shah

  85. Orthogonal Gabor systems on local fields

    Article • Filomat, January 2017, National Library of Serbia

    Prof. Firdous A. Shah

  86. An operational Haar wavelet collocation method for solving singularly perturbed boundary-value problems

    Article • SeMA Journal, October 2016, Springer Science + Business Media

    Prof. Firdous A. Shah

  87. Numerical Solution of Fractional Differential Equations Using Haar Wavelet Operational Matrix Method

    Article • International Journal of Applied and Computational Mathematics, September 2016, Springer Science + Business Media

    Prof. Firdous A. Shah

  88. Numerical solution of singularly perturbed problems using Haar wavelet collocation method

    Article • Cogent Mathematics, July 2016, Taylor & Francis

    Prof. Firdous A. Shah

  89. Periodic Wavelet Frames on Local Fields of Positive Characteristic

    Article • Numerical Functional Analysis and Optimization, January 2016, Taylor & Francis

    Prof. Firdous A. Shah

  90. Gabor frames on local fields of positive characteristic

    Article • Tbilisi Mathematical Journal, January 2016, De Gruyter

    Prof. Firdous A. Shah

  91. Construction of biorthogonal wavelet packets on local fields of positive characteristic

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2016, The Scientific and Technological Research Council of Turkey

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  92. Construction of Periodic Wavelet Frames Generated by the Walsh Polynomials

    Article • Mathematics, December 2015, MDPI AG

    Prof. Firdous A. Shah

  93. Minimum-energy wavelet frames generated by the Walsh polynomials

    Article • Cogent Mathematics, November 2015, Taylor & Francis

    Prof. Firdous A. Shah

  94. Vector-valued nonuniform multiresolution analysis on local fields

    Article • International Journal of Wavelets Multiresolution and Information Processing, July 2015, World Scientific Pub Co Pte Lt

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  95. Frame Multiresolution Analysis on Local Fields of Positive Characteristic

    Article • Journal of Operators, February 2015, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  96. Semi-orthogonal wavelet frames on local fields

    Article • Analysis, January 2015, De Gruyter

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  97. In Search of Leading Indicator Property of Yield Spread for India: An Approach Based on Quantile and Wavelet Regression

    Article • Economics Research International, January 2015, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  98. Haar Wavelet Operational Matrix Method for the Numerical Solution of Fractional Order Differential Equations

    Article • Nonlinear Engineering, January 2015, De Gruyter

    Prof. Firdous A. Shah

  99. Tight framelet packets on local fields of positive characteristic

    Article • Journal of Classical Analysis, January 2015, Element d.o.o.

    Dr Mohd Younus Bhat, Prof. Firdous A. Shah

  100. Wavelet Transforms and Their Applications

    Article • January 2015, Springer Science + Business Media

    Prof. Firdous A. Shah

  101. Wave packet frames on local fields of positive characteristic

    Article • Applied Mathematics and Computation, December 2014, Elsevier

    Prof. Firdous A. Shah

  102. A characterization of tight wavelet frames on local fields of positive characteristic

    Article • Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), November 2014, Allerton Press

    Prof. Firdous A. Shah

  103. Brief Historical Introduction

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  104. Extensions of Multiresolution Analysis

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  105. Fourier Transforms and Their Applications

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  106. Hilbert Spaces and Orthonormal Systems

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  107. Multiresolution Analysis and Construction of Wavelets

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  108. Newland’s Harmonic Wavelets

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  109. The Gabor Transform and Time–Frequency Signal Analysis

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  110. The Wavelet Transforms and Their Basic Properties

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  111. The Wigner–Ville Distribution and Time–Frequency Signal Analysis

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  112. Wavelet Transform Analysis of Turbulence

    Article • October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  113. Nonuniform Multiresolution Analysis on Local Fields of Positive Characteristic

    Article • Complex Analysis and Operator Theory, October 2014, Springer Science + Business Media

    Prof. Firdous A. Shah

  114. Are Eurozone Fixed Income Markets Integrated? An Analysis Based on Wavelet Multiple Correlation and Cross Correlation

    Article • Economics Research International, August 2014, Hindawi Publishing Corporation

    Prof. Firdous A. Shah

  115. TIGHT WAVELET FRAMES GENERATED BY THE WALSH POLYNOMIALS

    Article • International Journal of Wavelets Multiresolution and Information Processing, November 2013, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  116. The predictive power of yield spread: evidence from wavelet analysis

    Article • Empirical Economics, May 2013, Springer Science + Business Media

    Prof. Firdous A. Shah

  117. Tight wavelet frames on local fields

    Article • Analysis, January 2013, De Gruyter

    Prof. Firdous A. Shah

  118. Explicit construction ofM-band tight framelet packets

    Article • Analysis, November 2012, De Gruyter

    Prof. Firdous A. Shah

  119. Gabor frames on a half-line

    Article • Journal of Contemporary Mathematical Analysis (Armenian Academy of Sciences), September 2012, Allerton Press

    Prof. Firdous A. Shah

  120. Biorthogonal $p$-wavelet packets related to the Walsh polynomials

    Article • Journal of Classical Analysis, January 2012, Element d.o.o.

    Prof. Firdous A. Shah

  121. p-Wavelet frame packets on a half-line using the Walsh–Fourier transform

    Article • Integral Transforms and Special Functions, December 2011, Taylor & Francis

    Prof. Firdous A. Shah

  122. Dyadic wavelet frames on a half-line using the Walsh–Fourier transform

    Article • Integral Transforms and Special Functions, July 2011, Taylor & Francis

    Prof. Firdous A. Shah

  123. CONSTRUCTION OF WAVELET PACKETS ON p-ADIC FIELD

    Article • International Journal of Wavelets Multiresolution and Information Processing, September 2009, World Scientific Pub Co Pte Lt

    Prof. Firdous A. Shah

  124. Wavelet Transforms and Their Applications Wavelet Transforms and Their Applications , Lokenath Debnath , Birkhäuser, Boston, 2002. $79.95 (565 pp.). ISBN 0-8176-4204-8

    Article • Physics Today, April 2003, American Institute of Physics

    Prof. Firdous A. Shah

  125. The Wigner-Ville Distribution and Time-Frequency Signal Analysis

    Article • January 2002, Springer Science + Business Media

    Prof. Firdous A. Shah