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Eigenfunction expansions of operators admitting separation of an infinite number of variables

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Publication:1221910
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DOI10.1016/0034-4877(75)90010-5zbMath0317.47012OpenAlexW2093890845MaRDI QIDQ1221910

G. F. Us, Yurij M. Berezansky

Publication date: 1975

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(75)90010-5


Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Tensor products in functional analysis (46M05) (Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)


Related Items

The spaces of trial and generalized functions of infinite number of variables, Operators of Laplace-Levy type, Conditionally convergent tensor products, Self-adjointness of elliptic operators with an infinite number of variables



Cites Work

  • The function spaces for direct product representations of the canonical commutation relations
  • On self-adjointness in infinite tensor product spaces
  • Spektraltheorie separierbarer Operatoren
  • On the absolute summability of Fourier multiple series
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