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- W2007477424 abstract "The author studies the spectral properties of the operator A = id/dt in the space L2(0, 1), whose domain of definition is the kernel of some functional that is bounded in W21(0, 1) but not bounded in L2(0, 1). Necessary and sufficient conditions are given under which the operators ±iA generate C0-semigroups, and criteria for the similarity of A with a dissipative operator are proved. The results are used to study the basis properties of families of exponentials and to solve S. G. Krein's problem on the description of generators of semigroups in terms of their dissipative extensions. The solvability of integral equations of Delsarte type for mean periodic extensions of functions is also proved. Bibliography: 32 titles." @default.
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- W2007477424 date "1990-06-30" @default.
- W2007477424 modified "2023-09-26" @default.
- W2007477424 title "SPECTRAL ANALYSIS OF BIORTHOGONAL EXPANSIONS OF FUNCTIONS, AND EXPONENTIAL SERIES" @default.
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- W2007477424 doi "https://doi.org/10.1070/im1990v035n03abeh000718" @default.
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