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Changes of variables in modulation and Wiener amalgam spaces
File | Description | Size | Format | |
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0803.3485v1.pdf | Accepted version | 331.96 kB | Adobe PDF | View/Open |
Title: | Changes of variables in modulation and Wiener amalgam spaces |
Authors: | Ruzhansky, M Sugimoto, M Toft, J Tomita, N |
Item Type: | Journal Article |
Abstract: | 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 equation image. Finally, counterparts of these results are discussed for spaces on the torus. |
Issue Date: | 6-Oct-2011 |
Date of Acceptance: | 29-Mar-2010 |
URI: | http://hdl.handle.net/10044/1/55318 |
DOI: | https://dx.doi.org/10.1002/mana.200910199 |
ISSN: | 0025-584X |
Publisher: | Wiley-VCH Verlag |
Start Page: | 2078 |
End Page: | 2092 |
Journal / Book Title: | Mathematical News / Mathematische Nachrichten |
Volume: | 284 |
Issue: | 16 |
Copyright Statement: | This is the peer reviewed version of the following article: Ruzhansky, M., Sugimoto, M., Toft, J. and Tomita, N. (2011), Changes of variables in modulation and Wiener amalgam spaces. Math. Nachr., 284: 2078–2092, which has been published in final form at https://dx.doi.org/10.1002/mana.200910199. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving. |
Sponsor/Funder: | Engineering & Physical Science Research Council (EPSRC) |
Funder's Grant Number: | EP/G007233/1 |
Keywords: | Science & Technology Physical Sciences Mathematics Modulation spaces Wiener amalgam spaces Wiener type spaces changes of variables Beurling-Helson's theorem Fourier integral operators function spaces on torus FOURIER INTEGRAL-OPERATORS ATOMIC DECOMPOSITIONS GROUP-REPRESENTATIONS MULTIPLIERS EQUATIONS PROPERTY math.FA math.AP 35S30, 47G30, 42B05 0101 Pure Mathematics General Mathematics |
Publication Status: | Published |
Appears in Collections: | Pure Mathematics Faculty of Natural Sciences Mathematics |