Gabor expansions and restricted summability

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

A general summability method, the so called θ-summability is considered for Gabor series. It is proved that the maximal operator of the θ-means defined in a cone is bounded from the local Hardy space h p to L p and from the amalgam space W (h p, ℓ ) to W (L p, ℓ∞). This implies the almost everywhere convergence of the θ-means for all f ∈ W (L 1, ℓ ).

Original languageEnglish
Pages (from-to)255-284
Number of pages30
JournalSampling Theory in Signal and Image Processing
Volume10
Issue number3
Publication statusPublished - 2011

Fingerprint

Mercury amalgams
Summability
Mathematical operators
Cones
Amalgam
Almost Everywhere Convergence
Maximal Operator
Hardy Space
Cone
Imply
Series

Keywords

  • θ-summability
  • Atomic decomposition
  • Gabor expansions
  • Gabor frames
  • Local hardy spaces
  • Time-frequency analysis
  • Wiener amalgam spaces

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Analysis
  • Computational Mathematics
  • Radiology Nuclear Medicine and imaging

Cite this

Gabor expansions and restricted summability. / Weisz, F.

In: Sampling Theory in Signal and Image Processing, Vol. 10, No. 3, 2011, p. 255-284.

Research output: Contribution to journalArticle

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