On operator-valued solutions of d'Alembert's functional equation, I

DOI10.4064/cm-23-1-107-114zbMath0239.39004OpenAlexW1584556493MaRDI QIDQ5651120

Jan Kisyński

Publication date: 1971

Published in: Colloquium Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/cm-23-1-107-114

Mathematics Subject Classification ID

General theory of functional equations and inequalities (39B05)

Related Items (11)

Functional equations on abelian groups with involution ⋮ Spectral properties of cosine operator functions ⋮ D'Alembert's \(\mu\)-matrix functional equation on groups with an anti-endomorphism ⋮ Sharp Interior and Boundary Regularity of the SMGTJ-Equation with Dirichlet or Neumann Boundary Control ⋮ A representation formula for strongly continuous cosine families ⋮ A characterization of uniformly bounded cosine functions generators ⋮ On operator-valued spherical functions ⋮ Unnamed Item ⋮ A variant of d'Alembert's matrix functional equation ⋮ Semigroups of operators, cosine operator functions, and linear differential equations ⋮ Representation of fractional powers of infinitesimal generators of cosine operator functions

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