Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.

Original languageEnglish
Pages (from-to)33-46
Number of pages14
JournalAnalysis
Volume35
Issue number1
DOIs
Publication statusPublished - Mar 1 2015

Fingerprint

Wiener Amalgam Spaces
Mercury amalgams
Continuous Wavelet Transform
Wavelet transforms
Lebesgue Point
Inverse transforms
Inversion Formula
Summability
Wavelet Transform
Fourier transform
Fourier transforms
Norm

Keywords

  • Continuous wavelet transform
  • Hardy spaces
  • inversion formula
  • Wiener amalgam spaces
  • θ-summability

ASJC Scopus subject areas

  • Applied Mathematics
  • Analysis
  • Numerical Analysis

Cite this

Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces. / Weisz, Ferenc.

In: Analysis, Vol. 35, No. 1, 01.03.2015, p. 33-46.

Research output: Contribution to journalArticle

@article{ce45b59cc6e547a3977641d877ecb8a9,
title = "Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces",
abstract = "The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.",
keywords = "Continuous wavelet transform, Hardy spaces, inversion formula, Wiener amalgam spaces, θ-summability",
author = "Ferenc Weisz",
year = "2015",
month = "3",
day = "1",
doi = "10.1515/anly-2014-1267",
language = "English",
volume = "35",
pages = "33--46",
journal = "Analysis (Germany)",
issn = "0174-4747",
publisher = "Walter de Gruyter GmbH",
number = "1",

}

TY - JOUR

T1 - Convergence of the inverse continuous wavelet transform in Wiener amalgam spaces

AU - Weisz, Ferenc

PY - 2015/3/1

Y1 - 2015/3/1

N2 - The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.

AB - The inversion formula for the continuous wavelet transform is usually considered in the weak sense. With the help of summability methods of Fourier transforms we obtain norm convergence and convergence at Lebesgue points of the inverse wavelet transform for functions from the Lp and Wiener amalgam spaces.

KW - Continuous wavelet transform

KW - Hardy spaces

KW - inversion formula

KW - Wiener amalgam spaces

KW - θ-summability

UR - http://www.scopus.com/inward/record.url?scp=84925438417&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84925438417&partnerID=8YFLogxK

U2 - 10.1515/anly-2014-1267

DO - 10.1515/anly-2014-1267

M3 - Article

VL - 35

SP - 33

EP - 46

JO - Analysis (Germany)

JF - Analysis (Germany)

SN - 0174-4747

IS - 1

ER -