Greedy bases in weighted modulation spaces

Mitsuo Izuki; Yoshihiro Sawano

doi:10.1016/j.na.2009.03.036

Greedy bases in weighted modulation spaces

Mitsuo Izuki, Yoshihiro Sawano

Graduate School of Education

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

In the present paper we consider weighted modulation spaces. Weights of exponential growth will be admissible. With the molecular decomposition we shall obtain an unconditional basis. As applications, we obtain the greedy basis of coorbit spaces.

Original language	English
Pages (from-to)	e2045-e2053
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	71
Issue number	12
DOIs	https://doi.org/10.1016/j.na.2009.03.036
Publication status	Published - Dec 15 2009

Keywords

Bargmann-Fock space
Gabor frame
Greedy basis
Modulation space

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2009.03.036

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title = "Greedy bases in weighted modulation spaces",

abstract = "In the present paper we consider weighted modulation spaces. Weights of exponential growth will be admissible. With the molecular decomposition we shall obtain an unconditional basis. As applications, we obtain the greedy basis of coorbit spaces.",

keywords = "Bargmann-Fock space, Gabor frame, Greedy basis, Modulation space",

author = "Mitsuo Izuki and Yoshihiro Sawano",

note = "Funding Information: The authors thank deeply the anonymous referee for the comments which made the present paper more valuable. The second author is very grateful to the Gakushuin University for the financial support to attend the WCNA 2008.",

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AU - Izuki, Mitsuo

AU - Sawano, Yoshihiro

N1 - Funding Information: The authors thank deeply the anonymous referee for the comments which made the present paper more valuable. The second author is very grateful to the Gakushuin University for the financial support to attend the WCNA 2008.

PY - 2009/12/15

Y1 - 2009/12/15

N2 - In the present paper we consider weighted modulation spaces. Weights of exponential growth will be admissible. With the molecular decomposition we shall obtain an unconditional basis. As applications, we obtain the greedy basis of coorbit spaces.

AB - In the present paper we consider weighted modulation spaces. Weights of exponential growth will be admissible. With the molecular decomposition we shall obtain an unconditional basis. As applications, we obtain the greedy basis of coorbit spaces.

KW - Bargmann-Fock space

KW - Gabor frame

KW - Greedy basis

KW - Modulation space

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ER -

Greedy bases in weighted modulation spaces

Abstract

Keywords

ASJC Scopus subject areas

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