Gabor transform of analytic functional on the sphere

Keiko Fujita

doi:10.1007/978-3-319-12577-0_50

Gabor transform of analytic functional on the sphere

Keiko Fujita^*

^*Corresponding author for this work

Department of Mathematics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Scopus citations

Abstract

We studied the Fourier-Borel transform of analytic functional on the complex sphere. In this paper, we will consider the Gabor transformation which is a windowed Fourier transformation whose window function is the Gaussian function. Following our previous results we will represent the Gabor transform of analytic functional on the sphere using a series expansion by means of the Bessel functions.

Original language	English
Title of host publication	Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013
Editors	Vladimir V. Mityushev, Michael V. Ruzhansky
Publisher	Springer International Publishing
Pages	451-458
Number of pages	8
ISBN (Print)	9783319125763
DOIs	https://doi.org/10.1007/978-3-319-12577-0_50
State	Published - 2015
Event	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 - Krakow, Poland Duration: 2013/08/05 → 2013/08/09

Publication series

Name	Trends in Mathematics
Volume	2
ISSN (Print)	2297-0215
ISSN (Electronic)	2297-024X

Conference

Conference	9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013
Country/Territory	Poland
City	Krakow
Period	2013/08/05 → 2013/08/09

Keywords

Analytic functional on the sphere
Gabor transformation
Series expansion

ASJC Scopus subject areas

General Mathematics

Access to Document

10.1007/978-3-319-12577-0_50

Cite this

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title = "Gabor transform of analytic functional on the sphere",

abstract = "We studied the Fourier-Borel transform of analytic functional on the complex sphere. In this paper, we will consider the Gabor transformation which is a windowed Fourier transformation whose window function is the Gaussian function. Following our previous results we will represent the Gabor transform of analytic functional on the sphere using a series expansion by means of the Bessel functions.",

keywords = "Analytic functional on the sphere, Gabor transformation, Series expansion",

author = "Keiko Fujita",

note = "Publisher Copyright: {\textcopyright} 2015 Springer International Publishing Switzerland.; 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013 ; Conference date: 05-08-2013 Through 09-08-2013",

year = "2015",

doi = "10.1007/978-3-319-12577-0_50",

language = "英語",

isbn = "9783319125763",

series = "Trends in Mathematics",

publisher = "Springer International Publishing",

pages = "451--458",

editor = "Mityushev, {Vladimir V.} and Ruzhansky, {Michael V.}",

booktitle = "Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013",

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Fujita, K 2015, Gabor transform of analytic functional on the sphere. in VV Mityushev & MV Ruzhansky (eds), Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. Trends in Mathematics, vol. 2, Springer International Publishing, pp. 451-458, 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013, Krakow, Poland, 2013/08/05. https://doi.org/10.1007/978-3-319-12577-0_50

Gabor transform of analytic functional on the sphere. / Fujita, Keiko.
Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013. ed. / Vladimir V. Mityushev; Michael V. Ruzhansky. Springer International Publishing, 2015. p. 451-458 (Trends in Mathematics; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - We studied the Fourier-Borel transform of analytic functional on the complex sphere. In this paper, we will consider the Gabor transformation which is a windowed Fourier transformation whose window function is the Gaussian function. Following our previous results we will represent the Gabor transform of analytic functional on the sphere using a series expansion by means of the Bessel functions.

KW - Analytic functional on the sphere

KW - Gabor transformation

KW - Series expansion

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T2 - 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013

Y2 - 5 August 2013 through 9 August 2013

ER -

Gabor transform of analytic functional on the sphere

Abstract

Publication series

Conference

Keywords

ASJC Scopus subject areas

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