A Hilbert Transform for Matrix Functions on Fractal Domains
نویسندگان
چکیده
منابع مشابه
Radon Transform on Symmetric Matrix Domains
Let X be the matrix unit ball in Mn−k,k(K) consisting of contractive matrices where K = R, C, H. The domain X is a realization of the symmetric space G/K with G = U(n− k, k; K). The matrix ball yo of lower dimension in Mk′−k,k with k ′ ≤ n is a totally geodesic submanifold of X and let Y be the manifold of all G-translations of the submanifold y0. We consider the Radon transform from functions ...
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If /(OG^P) £>!> then f(x)^Lpy and a considerable literature is devoted to studying the relationship of such pairs of "conjugate" functions to the theory of functions analytic in a half-plane. More to the point of the present note is a series of papers studying the Hubert transform along strictly real variable lines ([2, 3 ] ; further bibliography in [2]). Much less is known about f(x) when f(t)...
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ژورنال
عنوان ژورنال: Complex Analysis and Operator Theory
سال: 2010
ISSN: 1661-8254,1661-8262
DOI: 10.1007/s11785-010-0121-2