TY - GEN
T1 - Gabor transform of analytic functional on the sphere
AU - Fujita, Keiko
N1 - Publisher Copyright:
© 2015 Springer International Publishing Switzerland.
PY - 2015
Y1 - 2015
N2 - 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.
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
UR - http://www.scopus.com/inward/record.url?scp=84959167216&partnerID=8YFLogxK
U2 - 10.1007/978-3-319-12577-0_50
DO - 10.1007/978-3-319-12577-0_50
M3 - 会議への寄与
AN - SCOPUS:84959167216
SN - 9783319125763
T3 - Trends in Mathematics
SP - 451
EP - 458
BT - Current Trends in Analysis and Its Applications - Proceedings of the 9th ISAAC Congress, 2013
A2 - Mityushev, Vladimir V.
A2 - Ruzhansky, Michael V.
PB - Springer International Publishing
T2 - 9th International ISAAC Congress on Current Trends in Analysis and Its Applications, 2013
Y2 - 5 August 2013 through 9 August 2013
ER -