Selfadjoint differential operators acting in spaces of functions of infinitely many variables

DOI10.1090/TRANS2/126/11zbMath0584.47022OpenAlexW4254554260MaRDI QIDQ3709342

Yurij M. Berezansky

Publication date: 1985

Published in: Eleven Papers on Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/trans2/126/11

zbMATH Keywords

infinite tensor productspaces of functions of infinitely many variablesselfadjoint differential operators

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) General theory of partial differential operators (47F05) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) 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) Tensor products in functional analysis (46M05) Distributions on infinite-dimensional spaces (46F25) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

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