Spectral theory and functional calculus for operators on spaces of generalized functions

DOI10.1016/0022-247X(92)90291-KzbMath0783.47016OpenAlexW2079680080MaRDI QIDQ1191852

S. Singh

Publication date: 27 September 1992

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-247x(92)90291-k

zbMATH Keywords

spectral functioncontinuous functional calculusdensely defined operator on a complex separable Hilbert spaceweak abstract Cauchy problem

Mathematics Subject Classification ID

Functional calculus for linear operators (47A60) Topological linear spaces of test functions, distributions and ultradistributions (46F05)

Related Items (4)

Eigenfunction expansions for generalized functions of several variables ⋮ A theory of summability on a space of generalized functions ⋮ A PHOTON TRANSPORT PROBLEM WITH A TIME-DEPENDENT POINT SOURCE ⋮ PHOTON TRANSPORT PROBLEMS INVOLVING A POINT SOURCE

Cites Work

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• Orthogonal series representations for generalized functions
• On Zemanian's distributional eigenfunction transforms
• Generalization of Zemanian Spaces of Generalized Functions which Have Orthonormal Series Expansions
• Applications of analysis on nilpotent groups to partial differential equations
• On the solution of certain distributional boundary value problems

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