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Spectral decompositions in spaces of analytic functionals. (English) Zbl 0436.47023

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
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