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512.546 --- Topological groups --- Groups, Topological --- Continuous groups --- 512.546 Topological groups --- Topological groups. Lie groups --- Groupes topologiques --- Topologische groepen

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Topological groups. Lie groups --- Classical mechanics. Field theory --- 51 --- Mathematics --- 51 Mathematics

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Category theory. Homological algebra --- Arithmetical algebraic geometry --- Automorphic forms --- Lie groups --- Congresses. --- 51 --- -Automorphic forms --- -Lie groups --- -Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups --- Automorphic functions --- Forms (Mathematics) --- Algebraic geometry, Arithmetical --- Arithmetic algebraic geometry --- Diophantine geometry --- Geometry, Arithmetical algebraic --- Geometry, Diophantine --- Number theory --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Groups, Lie --- Arithmetical algebraic geometry - Congresses. --- Automorphic forms - Congresses. --- Lie groups - Congresses.

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The principal aim of this book is to give an introduction to harmonic analysis and the theory of unitary representations of Lie groups. The second edition has been brought up to date with a number of textual changes in each of the five chapters, a new appendix on Fatou's theorem has been added in connection with the limits of discrete series, and the bibliography has been tripled in length.

Lie groups. --- Representations of groups. --- Harmonic analysis. --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Group representation (Mathematics) --- Groups, Representation theory of --- Group theory --- Groups, Lie --- Lie algebras --- Symmetric spaces --- Topological groups