Changes of variables in modulation and Wiener amalgam spaces
By Michael Ruzhansky, Mitsuru Sugimoto, J. Toft, Naohito Tomita. Mathematische Nachrichten, 2008
77 citations recorded by the source corpus.
In this paper various properties of global and local changes of variables as well as properties of canonical transforms are investigated on modulation and Wiener amalgam spaces. We establish several relations among localisations of such spaces and, as a consequence, we obtain several versions of local and global Beurling–Helson type theorems. We also establish a number of positive results such as local boundedness of canonical transforms on modulation spaces, properties of homogeneous changes of variables, and local continuity of Fourier integral operators on \documentclass{article}\usepackage{amssymb, mathrsfs}\begin{document}\pagestyle{empty}${\mathscr F}L^q$\end{document}. Finally, counterparts of these results are discussed for spaces on the torus.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/f19591542e065c48e07fe70499040f997d73b205
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In Applied Mathematics
- Nenad Teofanov
- Stevan Pilipovic
- J. Toft
- Karlheinz Gröchenig
- Mitsuru Sugimoto
- L. Rodino
- Hans G. Feichtinger
- Elena Cordero
Citations in the corpus
- Micro-Local Analysis with Fourier Lebesgue Spaces. Part I (2011, methodology): “In particular, we recover Theorem 2.1 and Remark 4.4 in [ 25 ].”