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Compact representation of the Hadamard function in a multidimensional space, based on the integral correlation matrix operator

โœ Scribed by Yu. T. Kostenko; A. S. Mazmanishvili


Publisher
Springer US
Year
1993
Tongue
English
Weight
125 KB
Volume
66
Category
Article
ISSN
1573-8795

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The existence of a unique 71 x n matrix spectral function is shown for a selfadjoint operator A in a Hilbert space Lg(m). This Hilbert space is a subspace of the product of spaces L2(rn;) with measures rn,, i = 1 , . . . , n , having support i n [O,m). The inner product in Li(m) is the weighted sum