TY - CHAP
T1 - Some Topics on the Gabor Wavelet Transformation
AU - Fujita, Keiko
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - We studied the Gabor wavelet transform of analytic functionals on the sphere in general dimension. Then we studied the Gabor wavelet transformation on the two-dimensional sphere and its inverse transformation. In this note, we review our previous results and we consider the relationship among the Fourier transformation, the windowed Fourier transformation whose windows function is given by a Gaussian function, and the Gabor wavelet transformation on the two-dimensional unit sphere.
AB - We studied the Gabor wavelet transform of analytic functionals on the sphere in general dimension. Then we studied the Gabor wavelet transformation on the two-dimensional sphere and its inverse transformation. In this note, we review our previous results and we consider the relationship among the Fourier transformation, the windowed Fourier transformation whose windows function is given by a Gaussian function, and the Gabor wavelet transformation on the two-dimensional unit sphere.
KW - Gabor wavelet transformation
UR - http://www.scopus.com/inward/record.url?scp=85139504871&partnerID=8YFLogxK
U2 - 10.1007/978-3-030-87502-2_67
DO - 10.1007/978-3-030-87502-2_67
M3 - 章
AN - SCOPUS:85139504871
T3 - Trends in Mathematics
SP - 671
EP - 679
BT - Trends in Mathematics
PB - Springer Science and Business Media Deutschland GmbH
ER -