Recent Developments in Harmonic Analysis: Theory and Applications
This special issue belongs to the section "C: Mathematical Analysis".
Special Issue Information
Dear Colleagues,
Harmonic analysis is a fundamental and important part of modern mathematics. It originated from the study of the heat equation in the early 19th century. After two centuries of development, it has become one of the core fields of modern mathematics. It is connected to many mathematical research fields such as the representation theory of groups, partial differential equations, analytic number theory, geometric measure theory, spectral and scattering theory, mathematical physics, and more.
This Special Issue presents recent results and developments in harmonic analysis and its applications, as well as in the theory of function spaces and operators.
Prof. Dr. Jiman Zhao
Guest Editor
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Keywords
- function spaces (including variable exponent function spaces)
- Fourier transform
- linear canonical transform
- Dunkl transform
- wavelet transform
- singular integral operators
- maximal operators
- multipliers
- pseudo-differential operators
- applications to PDEs
- applications to signal processing
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Published Papers
Mathematics - ISSN 2227-7390