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Contribution to the Fourier analysis of matrix-valued functions

✍ Scribed by B. Gyires

Publisher
Akadmiai Kiad
Year
1982
Tongue
English
Weight
324 KB
Volume
39
Category
Article
ISSN
1588-2632

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πŸ“œ SIMILAR VOLUMES

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We study the decay of the FOURIER-coefficients of vector-valued functions F :T --+ X, X a BANAFH space. Differentiable functions f generally have absolutely sumrnable FOURIER-coefficients, 1 Ilf(n)ll < 00, iff X is K-convex. More precise statements on the decay of Ilf(n)ll for regular functions fcan

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The main purpose of this paper is to compute all irreducible spherical functions on G=SU(3) of arbitrary type d Β₯ K Λ†, where K=S(U(2) Γ— U(1)) 4 U(2). This is accomplished by associating to a spherical function F on G a matrix valued function H on the complex projective plane P 2 (C)=G/K. It is well