On uniformly bounded spherical functions in Hilbert space

DOI10.1007/s00010-010-0037-yzbMath1223.47045OpenAlexW2166844249MaRDI QIDQ633244

Wojciech Chojnacki

Publication date: 31 March 2011

Published in: Aequationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00010-010-0037-y

zbMATH Keywords

cosine functionnormalitysimilaritygroup representationspherical function*-mapping

Mathematics Subject Classification ID

Operator sine and cosine functions and higher-order Cauchy problems (47D09) Other representations of locally compact groups (22D12) Matrix and operator functional equations (39B42)

Related Items (5)

Van Vleck's functional equation for the sine ⋮ Functional equations of Cauchy’s and d’Alembert’s Type on Compact Groups ⋮ An extension of a variant of d'Alemberts functional equation on compact groups ⋮ Solution of a functional equation on compact groups using Fourier analysis ⋮ Generalized small-dimension lemma and d'Alembert type functional equation on compact groups

Cites Work

• On a joint generalization of Cauchy's and d'Alembert's functional equations
• Spherical matrix functions and Banach representability for compactly generated locally compact motion groups
• D'Alembert's equation and spherical functions
• On operator-valued spherical functions
• On a Theorem of Fuglede and Putnam^†
• On some functional equation generalizing Cauchy's and d'Alembert's functional equations
• A Commutativity Theorem for Normal Operators
• Means for the Bounded Functions and Ergodicity of the Bounded Representations of Semi-Groups
• On Normal Operators in Hilbert Space
• Ergodic Theorems for Abelian Semi-Groups
• Similarity problems and completely bounded maps. Includes the solution to ``The Halmos problem.
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