Some properties of Modulation spaces
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Date
2025-06-15
Journal Title
Journal ISSN
Volume Title
Publisher
Mohamed Boudiaf University of M'sila
Abstract
In this thesis, we present some of the properties of modulation spaces, which are used in
mathematical analysis, especially differential equations. To study these spaces, ,we give
some key technical results needed in the proof of the main results. We present a
summary of Lebesgue spaces and some inequalities, such as Nikolskiy-Triebel
inequalities. In this thesis, we give some equivalent norms and duality in these spaces.
Description
Keywords
oduModulation spaces, short-term Fourier transform, Lebesgue spaces, window function, duality, functional spaces