Introduction to Abstract Harmonic Analysis Dover Books on Mathematics Lynn H Loomis Herunterladen Introduction%20to%20Abstract%20Harmonic%20Analysis%20Dover%20Books%20on%20Mathematics%20Lynn%20H%20Loomis
OJZ
Herunterladen Introduction to Abstract Harmonic Analysis Dover Books on Mathematics Lynn H Loomis OJZ
This classic monograph is the work of a prominent contributor to the field of harmonic analysis. Geared toward advanced undergraduates and graduate students, it focuses on methods related to Gelfand's theory of Banach algebra. Prerequisites include a knowledge of the concepts of elementary modern algebra and of metric space topology.
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.
ebook,Lynn H. Loomis,Introduction to Abstract Harmonic Analysis (Dover Books on Mathematics),Dover Publications,Algebra - General,Algebra - General,Algebra, Abstract,Algebra, Abstract.,Calculus,MATHEMATICS / Advanced,MATHEMATICS / Advanced.,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics,Mathematics / Algebra / General,Mathematics/Calculus,Non-Fiction,SCI/TECH,Scholarly/Graduate,Science/Math,Science/Mathematics,Textbooks (Various Levels),United States,bisacsh,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics / Algebra / General,Mathematics/Calculus,Mathematics,bisacsh,Science/Mathematics,Calculus
Introduction to Abstract Harmonic Analysis Dover Books on Mathematics Lynn H Loomis Reviews :
The first three chapters feature concise, self-contained treatments of measure theory, general topology, and Banach space theory that will assist students in their grasp of subsequent material. An in-depth exposition of Banach algebra follows, along with examinations of the Haar integral and the deduction of the standard theory of harmonic analysis on locally compact Abelian groups and compact groups. Additional topics include positive definite functions and the generalized Plancherel theorem, the Wiener Tauberian theorem and the Pontriagin duality theorem, representation theory, and the theory of almost periodic functions.
ebook,Lynn H. Loomis,Introduction to Abstract Harmonic Analysis (Dover Books on Mathematics),Dover Publications,Algebra - General,Algebra - General,Algebra, Abstract,Algebra, Abstract.,Calculus,MATHEMATICS / Advanced,MATHEMATICS / Advanced.,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics,Mathematics / Algebra / General,Mathematics/Calculus,Non-Fiction,SCI/TECH,Scholarly/Graduate,Science/Math,Science/Mathematics,Textbooks (Various Levels),United States,bisacsh,MATHEMATICS / Mathematical Analysis,Mathematical Analysis,Mathematics / Algebra / General,Mathematics/Calculus,Mathematics,bisacsh,Science/Mathematics,Calculus
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