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• W1663371262 abstract "Let $M$ be the space of real $ntimes m$ matrices which can be identified with the Euclidean space $R^{nm}$. We introduce continuous wavelet transforms on $M$ with a multivalued scaling parameter represented by a positive definite symmetric matrix. These transforms agree with the polar decomposition on $M$ and coincide with classical ones in the rank-one case $m=1$. We prove an analog of Calderon's reproducing formula for $L^2$-functions and obtain explicit inversion formulas for the Riesz potentials and Radon transforms on $M$. We also introduce continuous ridgelet transforms associated to matrix planes in $M$. An inversion formula for these transforms follows from that for the Radon transform." @default.
• W1663371262 created "2016-06-24" @default.
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• W1663371262 date "2004-09-07" @default.
• W1663371262 modified "2023-10-02" @default.
• W1663371262 title "Multiscaled wavelet transforms, ridgelet transforms, and Radon transforms on the space of matrices" @default.
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