Tkachenko, V. A. Spectral decompositions in spaces of analytic functionals. (English) Zbl 0436.47023 Math. USSR, Izv. 14, 597-651 (1980). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 47B38 Linear operators on function spaces (general) 47A10 Spectrum, resolvent 46A13 Spaces defined by inductive or projective limits (LB, LF, etc.) 46A11 Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) 46F05 Topological linear spaces of test functions, distributions and ultradistributions 34L99 Ordinary differential operators 30B50 Dirichlet series, exponential series and other series in one complex variable 46F15 Hyperfunctions, analytic functionals 46E10 Topological linear spaces of continuous, differentiable or analytic functions 30D15 Special classes of entire functions of one complex variable and growth estimates 30B60 Completeness problems, closure of a system of functions of one complex variable Keywords:spectral decompositions; spaces of analytic functionals; spaces of entire vector-valued functions; families of radial majorants; generalized boundary value problems; operator of multiplication by the independent variable PDF BibTeX XML Cite \textit{V. A. Tkachenko}, Math. USSR, Izv. 14, 597--651 (1980; Zbl 0436.47023) Full Text: DOI