Integral representations of even positive-definite functions on nuclear spaces

DOI10.1007/BF01066570zbMath0577.46003MaRDI QIDQ1066046

I. I. Rudinskij

Publication date: 1984

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

typenuclear spaceeven-positive functionspectral integral representations for operator functions of cosinespectral integral representations for operator functions of cosine type

Mathematics Subject Classification ID

Dilations, extensions, compressions of linear operators (47A20) 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) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20)

Cites Work

• Integral representation of exponentially convex functions

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