Applications of Harmonic Analysis in Sound and Vibration

Deadline for manuscript submissions: 31 August 2025

 

Special Issue Editors

Prof. Dr. Ferit Gürbüz  Website  E-Mail: feritgurbuz@klu.edu.tr
Kırklareli University, Turkey
Interests: harmonic analysis; morrey type spaces; mathematical analysis

 

Special Issue Information

Dear colleagues,

Harmonic analysis is a branch of mathematics concerned with investigating the connections between a function and its representation in frequency. The frequency representation is found by using the Fourier transform for functions on unbounded domains such as the full real line or by Fourier series for functions on bounded domains, especially periodic functions on finite intervals. Generalizing these transforms to other domains is generally called Fourier analysis, although the term is sometimes used interchangeably with harmonic analysis. Harmonic analysis is modern and active domains of research in mathematics whose roots are firmly imbedded in classical theories. Indeed, Harmonic Analysis traditionally studies spaces of functions defined on a topological group; in this sense it can be thought of as a one-variable function theory.


More recently, this field has seen rapid growth by expanding into wider areas both in the abstract (quantum groups, operator spaces and algebras, spectral analysis, tidal analysis, representation theory) and applied (time-frequency analysis, wavelets, systems theory, neuroscience, sound and vibration, operator theory) directions.
This special issue has been prepared in line with this purpose. By presenting relevant developments in detail, each paper of this special issue aims to provide readers with an understanding of the research problems discussed. As a result, with this special issue, we aim to bring academic scientists, researchers and scholars together in order to exchange and share their experiences and research results about all aspects of “Applications of Harmonic Analysis in Sound and Vibration”. Researchers will also find this special issue useful.


As one of the scholars in this field, we hope you can join the special issue to convey your ideas, intellect and experiences. Your dedication will be of particular value to the scientific community. Novel insights as well as fundamental research and analysis around the topic of the special issue are welcome. If you have discovered anything new in this field, be sure to share them with us to help inspire more academic peers.

 

Prof. Dr. Ferit Gürbüz

Guest Editor

 

Keywords

From the recent papers, we feel that the following topics are remarkable. But, the scope of the special issue includes but not limited to :
Papers are sought in one or more of the following areas:

• applied mathematics
• approximation theory
• complex analysis
• control and optimization
• dynamical systems
• fixed point theory
• functional analysis and operator theory
• fourier analysis
• mathematical physics
• numerical analysis
• partial differential equations
• real and harmonic analysis
• special functions

 

Published Papers