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- W2063162882 abstract "Let G be a locally compact group with a compact subgroup H. We define a square integrable representation of a homogeneous space G/H on a Hilbert space [Formula: see text]. The reconstruction formula for G/H is established and as a result it is concluded that the set of admissible vectors is path connected. The continuous wavelet transform on G/H is defined and it is shown that the range of the continuous wavelet transform is a reproducing kernel Hilbert space. Moreover, we obtain a necessary and sufficient condition for the continuous wavelet transform to be onto." @default.
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- W2063162882 date "2012-07-01" @default.
- W2063162882 modified "2023-09-24" @default.
- W2063162882 title "ON THE CONTINUOUS WAVELET TRANSFORM ON HOMOGENEOUS SPACES" @default.
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- W2063162882 doi "https://doi.org/10.1142/s0219691312500385" @default.
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