Reproducing Kernels and Variable Bandwidth
Joint Authors
Aceska, R.
Feichtinger, Hans G.
Source
Journal of Function Spaces and Applications
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-09-25
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We show that a modulation space of type Mm2 (ℝ) is a reproducing kernel Hilbert space (RKHS).
In particular, we explore the special cases of variable bandwidth spaces Aceska and Feichtinger (2011) with a suitably chosen weight to provide strong enough decay in the frequency direction.
The reproducing kernel property is valid even if Mm2 (ℝ) does not coincide with any of the classical Sobolev spaces because unbounded bandwidth (globally) is allowed.
The reproducing kernel will be described explicitly.
American Psychological Association (APA)
Aceska, R.& Feichtinger, Hans G.. 2012. Reproducing Kernels and Variable Bandwidth. Journal of Function Spaces and Applications،Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-473976
Modern Language Association (MLA)
Aceska, R.& Feichtinger, Hans G.. Reproducing Kernels and Variable Bandwidth. Journal of Function Spaces and Applications No. 2012 (2012), pp.1-12.
https://search.emarefa.net/detail/BIM-473976
American Medical Association (AMA)
Aceska, R.& Feichtinger, Hans G.. Reproducing Kernels and Variable Bandwidth. Journal of Function Spaces and Applications. 2012. Vol. 2012, no. 2012, pp.1-12.
https://search.emarefa.net/detail/BIM-473976
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-473976
