Gabor transformation on the circle

Keiko Fujita

doi:10.1109/ICWAPR.2014.6961302

Gabor transformation on the circle

Keiko Fujita^*

^*Corresponding author for this work

Department of Mathematics

Research output: Contribution to journal › Conference article › peer-review

2 Scopus citations

Abstract

In [2] and [3], we considered the Gabor transform of analytic functionals on the sphere in general dimension and we expressed it by a series expansion with the spherical harmonics and the Bessel functions. In this paper, following our previous results, we will consider the Gabor transform of analytic functionals, especially of square integrable functions on the circle (2-dimensional sphere), in more detail. Then we will construct the inverse Gabor transformation explicitly.

Original language	English
Article number	6961302
Pages (from-to)	122-126
Number of pages	5
Journal	International Conference on Wavelet Analysis and Pattern Recognition
Volume	2014-January
DOIs	https://doi.org/10.1109/ICWAPR.2014.6961302
State	Published - 2014
Event	2014 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR 2014 - Lanzhou, China Duration: 2014/07/13 → 2014/07/16

Keywords

Gabor transformation
series expansion
spherical harmonics

ASJC Scopus subject areas

Computational Theory and Mathematics
Computer Vision and Pattern Recognition

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10.1109/ICWAPR.2014.6961302

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title = "Gabor transformation on the circle",

abstract = "In [2] and [3], we considered the Gabor transform of analytic functionals on the sphere in general dimension and we expressed it by a series expansion with the spherical harmonics and the Bessel functions. In this paper, following our previous results, we will consider the Gabor transform of analytic functionals, especially of square integrable functions on the circle (2-dimensional sphere), in more detail. Then we will construct the inverse Gabor transformation explicitly.",

keywords = "Gabor transformation, series expansion, spherical harmonics",

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AB - In [2] and [3], we considered the Gabor transform of analytic functionals on the sphere in general dimension and we expressed it by a series expansion with the spherical harmonics and the Bessel functions. In this paper, following our previous results, we will consider the Gabor transform of analytic functionals, especially of square integrable functions on the circle (2-dimensional sphere), in more detail. Then we will construct the inverse Gabor transformation explicitly.

KW - Gabor transformation

KW - series expansion

KW - spherical harmonics

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U2 - 10.1109/ICWAPR.2014.6961302

DO - 10.1109/ICWAPR.2014.6961302

M3 - 会議記事

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VL - 2014-January

SP - 122

EP - 126

JO - International Conference on Wavelet Analysis and Pattern Recognition

JF - International Conference on Wavelet Analysis and Pattern Recognition

M1 - 6961302

T2 - 2014 International Conference on Wavelet Analysis and Pattern Recognition, ICWAPR 2014

Y2 - 13 July 2014 through 16 July 2014

ER -

Gabor transformation on the circle

Abstract

Keywords

ASJC Scopus subject areas

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