TY - JOUR
T1 - Gabor transformation on the circle
AU - Fujita, Keiko
N1 - Publisher Copyright:
© 2014 IEEE.
PY - 2014
Y1 - 2014
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=85021329984&partnerID=8YFLogxK
U2 - 10.1109/ICWAPR.2014.6961302
DO - 10.1109/ICWAPR.2014.6961302
M3 - 会議記事
AN - SCOPUS:85021329984
SN - 2158-5695
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 -