Abstract
Extending the notion of the general monotonicity for sequences to functions, we exploit it to investigate integrability problems for Fourier transforms. The problem of controlling integrability properties of the Fourier transform separately near the origin and near infinity is examined. We then apply the obtained results to the problems of integrability of trigonometric series.
Original language | English |
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Title of host publication | Analysis and Mathematical Physics |
Editors | Björn Gustafsson, Alexander Vasilev |
Publisher | Springer International Publishing |
Pages | 377-395 |
Number of pages | 19 |
ISBN (Print) | 9783764399054 |
DOIs | |
State | Published - 2009 |
Event | International Conference on New trends in harmonic and complex analysis, 2007 - Trondheim, Norway Duration: 7 May 2007 → 12 May 2007 |
Publication series
Name | Trends in Mathematics |
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Volume | 46 |
ISSN (Print) | 2297-0215 |
ISSN (Electronic) | 2297-024X |
Conference
Conference | International Conference on New trends in harmonic and complex analysis, 2007 |
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Country/Territory | Norway |
City | Trondheim |
Period | 7/05/07 → 12/05/07 |
Bibliographical note
Publisher Copyright:© 2009 Birkhäuser Verlag Basel/Switzerland.
Keywords
- Bounded variation
- Fourier transform
- Monotone/general monotone functions
- Trigonometric series