Wavelet Transforms Associated to Group Representations and Functions Invariant under Symmetry Groups
نویسنده
چکیده
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 R. 2000 AMS subject classification: 42C40, 43A65, 43A62, 44A15
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ورودعنوان ژورنال:
- IJWMIP
دوره 3 شماره
صفحات -
تاریخ انتشار 2005