Expansion in eigenfunctions of families of commutating operators and representations of commutation relations

DOI10.1007/BF01056455zbMath0665.47017MaRDI QIDQ1116067

Yurij M. Berezansky, Yurii S. Samoilenko, Vasyl L. Ostrovskyĭ

Publication date: 1988

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

zbMATH Keywords

Fourier transformspectral representationcommutation relationsclosed linear operatorfamily of commuting selfadjoint operators on a separable Hilbert spacenuclear scale

Mathematics Subject Classification ID

(Generalized) eigenfunction expansions of linear operators; rigged Hilbert spaces (47A70)

Related Items (4)

An application of the projective spectral theorem to commuting families of operators ⋮ Families of unbounded self-adjoint operators connected by non-Lie relations ⋮ Representations of relations connecting a collection of commuting selfadjoint operators with a nonselfadjoint one ⋮ Representations of operator relations by means of unbounded operators and multidimensional dynamical systems

Cites Work

• Any separable ultrametric space can be isometrically imbedded in \(l_ 2\)
• REPRESENTATIONS OF THE ANTICOMMUTATION RELATIONS
• REPRESENTATIONS OF THE COMMUTATION RELATIONS
• Unnamed Item

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