A first course in harmonic analysis

zbMath0997.43001MaRDI QIDQ5915474

Anton Deitmar

Publication date: 4 June 2002

Published in: Universitext (Search for Journal in Brave)

zbMATH Keywords

Fourier analysisexponential mappingharmonic analysisunitary representationsmatrix groupsPeter-Weyl theoremPontryagin duality theoremPlancherel theoremlocally compact abelian (LCA) groups

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to harmonic analysis on Euclidean spaces (42-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to abstract harmonic analysis (43-01) Locally compact abelian groups (LCA groups) (22Bxx) Other groups of matrices (20Hxx)

Related Items (10)

Frame of translates and its canonical dual in L2(G) ⋮ A Novel Mathematical Approach to the Theory of Translation Invariant Linear Systems ⋮ Elements of Postmodern Harmonic Analysis ⋮ optimal control of unknown continuous time linear periodic systems by adaptive dynamic programming with applications to magnetic attitude control ⋮ Choosing Function Spaces in Harmonic Analysis ⋮ Upper and lower estimates for positive solutions of the higher order Lidstone boundary value problem ⋮ Constructive realization of dual systems for generators of multi-window spline-type spaces ⋮ Thoughts on Numerical and Conceptual Harmonic Analysis ⋮ Characterizing asymptotic randomization in abelian cellular automata ⋮ Ratio limit theorem for parabolic horn-shaped domains

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