Paley-Wiener theorems with respect to the spectral parameter
Susanna Dann
Broschiertes Buch

Paley-Wiener theorems with respect to the spectral parameter

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One of the important questions related to any integral transform on a manifold M or on a homogeneous space G/K is the description of the image of a given space of functions. If M=G/K, where (G,K) is a Gelfand pair, then harmonic analysis on M is closely related to the representations of G and the direct integral decomposition of the space of square-integrable functions on M into irreducible representations of G. The n-dimensional Euclidean space can be realized as the quotient of the orientation preserving Euclidean motion group E(n) by the special orthogonal group SO(n). The pair (E(n), SO(n)...