منابع مشابه
The Abstract Titchmarsh-weyl M-function for Adjoint Operator Pairs and Its Relation to the Spectrum
In the setting of adjoint pairs of operators we consider the question: to what extent does the Weyl M -function see the same singularities as the resolvent of a certain restriction AB of the maximal operator? We obtain results showing that it is possible to describe explicitly certain spaces S and S̃ such that the resolvent bordered by projections onto these subspaces is analytic everywhere that...
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15 صفحه اولBilinear biorthogonal expansions and the spectrum of an integral operator
We study an extension of the classical Paley-Wiener space structure, which is based on bilinear expansions of integral kernels into biorthogonal sequences of functions. The structure includes both sampling expansions and FourierNeumann type series as special cases. Concerning applications, several new results are obtained. From the Dunkl analogue of Gegenbauer’s expansion of the plane wave, we ...
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ژورنال
عنوان ژورنال: Indiana University Mathematics Journal
سال: 1970
ISSN: 0022-2518
DOI: 10.1512/iumj.1971.20.20044