Nuclear function spaces on the base of a hypercomplex system

DOI10.1007/BF01093154zbMath0533.46012MaRDI QIDQ789671

A. A. Kalyuzhnyj, Yurij M. Berezansky

Publication date: 1983

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

zbMATH Keywords

hypercomplex systemsnuclear function spacesstructure measures

Mathematics Subject Classification ID

Topological linear spaces of continuous, differentiable or analytic functions (46E10) 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)

Related Items (4)

Hypergroups and hypergroup algebras ⋮ Hypercomplex systems originating from orthogonal polynomials ⋮ Duality of algebras with an involution and generalized shift operators ⋮ Representations of hypercomplex systems with locally compact basis

Cites Work

• Spaces with an abstract convolution of measures
• SPECTRAL REPRESENTATIONS AND UNBOUNDED CONVOLUTION OPERATORS
• On the asymptotic behavior of the spectral function of a self adjoint second order differential equation
• The Measure Algebra of a Locally Compact Hypergroup
• Nuclear spaces on a locally compact group
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