Autore	Rudin, Walter
Pubbl/distr/stampa	Torino : Bollati Boringhieri, 1974
Descrizione fisica	451 p. ; 24 cm
Disciplina	515
Altri autori (Persone)	Vesentini Ottolenghi, Maria Luisa Vesentini, Edoardo
Collana	Programma di matematica, fisica, elettronica [Bollati Boringhieri]
Soggetto topico	Analisi matematica
ISBN	8833953424
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	ita
Record Nr.	UNISALENTO-991000152649707536

Autore	Rudin, Walter <1921-2010>
Pubbl/distr/stampa	New York, : Wiley, 1990
Descrizione fisica	IX, 285 p. ; 23 cm.
Soggetto topico	42-XX - Harmonic analysis on Euclidean spaces [MSC 2020]
ISBN	978-04-7152-364-2
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNICAMPANIA-SUN0051959

Autore	Rudin Walter <1921-2010.>
Edizione	[Wiley classics library ed.]
Pubbl/distr/stampa	New York, : Wiley, 1990
Descrizione fisica	1 online resource (298 p.)
Disciplina	515
Soggetto topico	Fourier transformations Harmonic analysis
ISBN	1-283-29882-1 9786613298829 1-118-16562-4 1-118-16564-0
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Nota di contenuto	Fourier Analysis on Groups; CONTENTS; Chapter 1 The Basic Theorems of Fourier Analysis; 1.1 Haar Measure and Convolution; 1.2 The Dual Group and the Fourier Transform; 1.3 Fourier-Stieltjes Transforms; 1.4 Positive-Definite Functions; 1.5 The Inversion Theorem; 1.6 The Plancherel Theorem; 1.7 The Pontryagin Duality Theorem; 1.8 The Bohr Compactification; 1.9 A Characterization of B(Г); Chapter 2 The Structure of Locally Compact Abelian Groups; 2.1 The Duality between Subgroups and Quotient Groups; 2.2 Direct Sums; 2.3 Monothetic Groups; 2.4 The Principal Structure Theorem 2.5 The Duality between Compact and Discrete Groups2.6 Local Units in A(Г); 2.7 Fourier Transforms on Subgroups and on Quotient Groups; Chapter 3 Idempotent Measures; 3.1 Outline of the Main Result; 3.2 Some Trivial Cases; 3.3 Reduction to Compact Groups; 3.4 Decomposition into Irreducible Measures; 3.5 Five Lemmas; 3.6 Characterization of Irreducible Idempotents; 3.7 Norms of Idempotent Measures; 3.8 A Multiplier Problem; Chapter 4 Homomorphisms of Group Algebras; 4.1 Outline of the Main Result; 4.2 The Action of Piecewise Affine Maps; 4.3 Graphs in the Coset Ring; 4.4 Compact Groups 4.5 The General Case4.6 Complements to the Main Result; 4.7 Special Cases; Chapter 5 Measures and Fourier Transforms on Thin Sets; 5.1 Independent Sets and Kronecker Sets; 5.2 Existence of Perfect Kronecker Sets; 5.3 The Asymmetry of M(G); 5.4 Multiplicative Extension of Certain Linear Functionals; 5.5 Transforms of Measures on Kronecker Sets; 5.6 Helson Sets; 5.7 Sidon Sets; Chapter 6 Functions of Fourier Transforms; 6.1 Introduction; 6.2 Sufficient Conditions; 6.3 Range Transformations on B(Г) for Non-Compact Г; 6.4 Some Consequences; 6.5 Range Transformations on A(Г) for Discrete Г 6.6 Range Transformations on A(Г) for Non-Discrete Г6.7 Comments on the Predecing Theorems; 6.8 Range Transformations on Some Quotient Algebras; 6.9 Operating Functions Defined in Plane Regions; Chapter 7 Closed Ideals in L1 (G); 7.1 Introduction; 7.2 Wiener's Tauberian Theorem; 7.3 The Example of Schwartz; 7.4 The Examples of Herz; 7.5 Polyhedral Sets; 7.6 Malliavin's Theorem; 7.7 Closed Ideals Which Are Not Self-Adjoint; 7.8 Spectral Synthesis of Bounded Functions; Chapter 8 Fourier Analysis on Ordered Groups; 8.1 Ordered Groups; 8.2 The Theorem of F. and M. Riesz; 8.3 Geometrie Means 8.4 Factorization Theorems in H1(G) and in H2(G)8.5 Invariant Subspaces of H2(G); 8.6 A Gap Theorem of Paley; 8.7 Conjugate Functions; Chapter 9 Closed Subalgebras of L1(G); 9.1 Compact Groups; 9.2 Maximal Subalgebras; 9.3 The Stone-Weierstrass Property; Appendices; A. Topology; B. Topological Groups; C. Banach Spaces; D. Banach Algebras; E. Measure Theory; Bibliography; List of Special Symbols; Index
Record Nr.	UNINA-9910139600003321

Autore	Rudin, Walter, 1921-2010
Descrizione fisica	ix, 285 pages ; 24 cm
Disciplina	517.7
Collana	Interscience tracts in pure and applied mathematics ; 12
Soggetto topico	Fourier transformations
Classificazione	AMS 42-01
Formato	Materiale a stampa
Livello bibliografico	Monografia
Lingua di pubblicazione	eng
Record Nr.	UNISALENTO-991003414199707536