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|| Special Issue ||Recent Advances in Applied and Computational Harmonic Analysis

 

 

 

Deadline for Submissions: 15 February 2024

 

 

 

Special Issue Editors

 

 

 

Guest Editor

Prof. Firdous A. Shah

E-mail

Website

 

 

Affiliation

Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India

 

Interests

Wavelet Analysis, Fourier Analysis, Frames, Integral Transforms, Clifford Algebra

 

 

 

Guest Editor:

Prof. Hatem Mejoaili

E-mail

Website

 

 

Affiliation

Department of Mathematics, College of Sciences, Taibah University, PO.Box: 30002 Al Madinah AL Munawarah 42353, Saudi Arabia.

 

Interests

Mathematics, Physics, Wavelet Theory, Fourier Analysis

 

 

 

 

 

Guest Editor:

Dr. Azhar Y. Tantary

E-mail

Website

 

 

Affiliation

Department of Mathematics, University of Kashmir, South Campus, Anantnag-192101, Jammu and Kashmir, India

 

Interests

Harmonic Analysis, Fourier Analysis, Wavelet Theory

 

 

 

Special Issue Information

 

 

The field of Mathematical analysis witnessed tremendous development with Fourier’s

remarkable idea of expansion of a function or signal in terms of trigonometric series. The

versatility of the celebrated concepts of the Fourier series and Fourier transforms led to the

birth of an entirely new field of mathematics formally referred to as the Fourier analysis. As

an extended form of Fourier analysis, Harmonic analysis has become a significantly vast

discipline of mathematical analysis with applications areas in time-frequency

analysis, Gabor analysis, wavelet theory, geometrical wavelet transforms, representation

theory, perturbation theory, frame theory, pseudodifferential operators and Fourier

integral operators, harmonic analysis on graphs and trees, numerical and abstract harmonic

analysis, signal and image processing, sampling and filtering theory, compressed

sensing, quantum mechanics, and medicine.

 

 

The aim of this themed Special Issue is to gather a collection of articles reflecting the

latest innovative theoretical developments, methods, and algorithms of Applied and

Computational Harmonic Analysis and also to provide a multidisciplinary forum

among mathematicians, physicists, engineers, signal analysts and life scientists, discuss

essential research problems and directions, and promote these methods in various research

areas. This Special Issue welcomes articles which are closely related to the theme of the

issue. More precisely, the Special Issue welcomes the review, expository, and original

research articles addressing significant issues and contributing to the development of new

concepts, methodologies, applications, trends, and knowledge in Applied and Computational

Harmonic Analysis. Potential topics include but are not limited to the

Following:

 

•          Time-frequency analysis, Gabor and wavelet analysis.

•          Geometrical wavelet transforms, such as ridgelet, curvelet, shearlet, surfacelets and

•          taylorlet transforms.

•          Abstarct harmonic analysis

•          Compuational harmonic analysis

•          Frame and perturbuation theory

•          Pseudodifferential operators

•          Fourier integral operators

•          Fourier, fractional Fourier, linear canonical and special affine Fourier transforms.

•          Convolution, correlation, sampling and filtering theories beyond the Fourier domain.

•          Applications of harmonic analysis arising in optics, radar, acoustics, communication

            theory, signal and image processing, sampling and filtering theory, compressed

            sensing, quantum mechanics, medicine, computer vision, geophysics, remote

            sensing, and many other fields.

 

 

 

Keywords: Time-frequency analysis, Fourier analysis, Gabor transform, Wavelet analysis,

Ridgelets, Curvelets, Shearlets, Bendlets, Taylorlets, Inverse Problems, Sampling, Filtering,

Abastract and computational harmonic analysis, Pseudodifferential operators, Frame

theory.

 

Manuscript Submission Information

 

Before submitting your work, please read the submission guidelines under: https://ojs.wiserpub.com/index.php/CM/about/submissions.

 

 

 

 

Published Papers

 

 

 

This special issue is now open for submission.