WAVELET TRANSFORMS ASSOCIATED TO GROUP REPRESENTATIONS AND FUNCTIONS INVARIANT UNDER SYMMETRY GROUPS
2005 ◽
Vol 03
(02)
◽
pp. 167-187
◽
Keyword(s):
We study the wavelet transform of functions invariant under a symmetry group, where the wavelet transform is associated to an irreducible unitary group representation. Among other results a new inversion formula and a new covariance principle are derived. As main examples we discuss the continuous wavelet transform and the short time Fourier transform of radially symmetric functions on ℝd.
2007 ◽
Vol 19
(05)
◽
pp. 331-339
2014 ◽
Vol 214
◽
pp. 48-57
◽
Keyword(s):
1996 ◽
Vol 100
(4)
◽
pp. 2637-2637
Keyword(s):
Keyword(s):