Stone's theorem for an additive group in a Hilbert space

DOI10.1007/BF01077145zbMath0423.46014MaRDI QIDQ1134336

I. M. Gali, Yurij M. Berezansky, Yuri G. Kondratiev

Publication date: 1978

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

zbMATH Keywords

rigged Hilbert spaceMinlos-Sazonov theoremStone's theoremadditive group in a Hilbert space

Mathematics Subject Classification ID

Groups and semigroups of linear operators (47D03) Unitary representations of locally compact groups (22D10) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Inner product spaces and their generalizations, Hilbert spaces (46C99) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Cites Work

• Positive definite functions on certain sequence spaces
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