FOLLAND ABSTRACT HARMONIC ANALYSIS PDF
Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory.A Course in Abstract Harmonic Analysis. GERALD B. FOLLAND. University of Washington, Department of Mathematics. A Course in Abstract Harmonic Analysis. CRC PRESS. Boca Raton Ann Arbor. A Course in Abstract Harmonic Analysis by Gerald B. Folland, , available at Book Depository with free delivery worldwide.
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Description A Course in Abstract Harmonic Analysis is an introduction to that part of analysis on locally compact groups that can be done with minimal assumptions on the nature of the group.
Real Analysis Jewgeni H. Withoutabox Submit to Film Festivals. Adds a short section on von Neumann algebras Includes Mark Kac’s simple proof of a restricted form of Wiener’s theorem Explains the relation between SU 2 and SO 3 in terms of quaternions, an elegant method that brings SO 4 into the picture with little effort Discusses representations of the discrete Heisenberg group and its central quotients, illustrating the Mackey machine for regular semi-direct products and the pathological phenomena for nonregular ones A Course in Abstract Harmonic Analysis, Second Edition serves as an entree to advanced mathematics, presenting the essentials of harmonic analysis on locally compact groups in a concise and accessible form.
A Course in Abstract Harmonic Analysis
Abdtract read this title? Banach Algebras and Spectral Theory. Dover Modern Math Originals. The reviewer would encourage anyone with an interest in harmonic analysis to have this book in his or her personal library. Despite this, however, there are few, if any introductory texts that present a unified picture of the general abstract theory.
After a preliminary chapter containing the necessary background material on Banach algebras and spectral theory, the text sets out the general theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian groups and compact groups. This book develops the abstract theory along with a well-chosen selection of concrete examples that exemplify the results and show the breadth of their applicability.
If you are a seller for this product, would you like to suggest updates through seller support? Discover Prime Book Box for Kids. Request an e-inspection copy. Review Praise for the Previous Edition “This delightful book fills a long-standing gap in the literature on abstract harmonic analysis.
Doran in Mathematical Reviews RIssue 98c show more. Share your thoughts with other customers. Learn More about VitalSource Bookshelf. Read, highlight, and take notes, across web, tablet, and phone. Amazon Advertising Find, attract, and engage customers. Goodreads is the world’s largest site for readers with over 50 million reviews.
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A Course in Abstract Harmonic Analysis – CRC Press Book
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The book concludes with an informal discussion of some further aspects of the representation theory of non-compact, non-Abelian groups. What are VitalSource eBooks? The author devotes two chapters to analysis on Abelian groups and compact groups, then explores induced representations, featuring the imprimitivity theorem and its applications.
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Also I’m feeling super lazy right now, but want to get past this point in the book. Folland received his Ph. As a generalization of classical Fourier analysis, this abstract theory creates a foundation for a great deal of modern analysis, and it contains a number of elegant results and techniques that are of interest in their own right. See and discover other items: Visit our Beautiful Books page and find lovely books for kids, photography lovers and more.
A Course in Abstract Harmonic Analysis offers a concise, readable introduction to Fourier analysis on groups and unitary representation theory. After a preliminary chapter containing the necessary background material on Banach algebras and spectral theory, the text sets out the general theory of locally compact groups and their unitary representations, followed by a development of the more specific theory of analysis on Abelian groups and compact groups.
Folland received his Ph. That clears it up. Modern Techniques and Their Applications.