SPECTRAL DECOMPOSITIONS IN SPACES OF ANALYTIC FUNCTIONALS

DOI10.1070/IM1980V014N03ABEH001146zbMath0436.47023OpenAlexW2095363212MaRDI QIDQ3876523

Vadim A. Tkachenko

Publication date: 1980

Published in: Mathematics of the USSR-Izvestiya (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/im1980v014n03abeh001146

zbMATH Keywords

spectral decompositionsgeneralized boundary value problemsspaces of analytic functionalsoperator of multiplication by the independent variablefamilies of radial majorantsspaces of entire vector-valued functions

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Linear operators on function spaces (general) (47B38) Hyperfunctions, analytic functionals (46F15) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Topological linear spaces of test functions, distributions and ultradistributions (46F05) Dirichlet series, exponential series and other series in one complex variable (30B50) Special classes of entire functions of one complex variable and growth estimates (30D15) Ordinary differential operators (34L99) Completeness problems, closure of a system of functions of one complex variable (30B60)

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