Introduction to Harmonic Analysis and Generalized Gelfand Pairs is popular PDF and ePub book, written by Gerrit van Dijk in 2009-12-23, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Introduction to Harmonic Analysis and Generalized Gelfand Pairs can be Read Online from any device for your convenience.
Introduction to Harmonic Analysis and Generalized Gelfand Pairs Book PDF Summary
This book is intended as an introduction to harmonic analysis and generalized Gelfand pairs. Starting with the elementary theory of Fourier series and Fourier integrals, the author proceeds to abstract harmonic analysis on locally compact abelian groups and Gelfand pairs. Finally a more advanced theory of generalized Gelfand pairs is developed. This book is aimed at advanced undergraduates or beginning graduate students. The scope of the book is limited, with the aim of enabling students to reach a level suitable for starting PhD research. The main prerequisites for the book are elementary real, complex and functional analysis. In the later chapters, familiarity with some more advanced functional analysis is assumed, in particular with the spectral theory of (unbounded) self-adjoint operators on a Hilbert space. From the contents Fourier series Fourier integrals Locally compact groups Haar measures Harmonic analysis on locally compact abelian groups Theory and examples of Gelfand pairs Theory and examples of generalized Gelfand pairs
Detail Book of Introduction to Harmonic Analysis and Generalized Gelfand Pairs PDF
- Author : Gerrit van Dijk
- Release : 23 December 2009
- Publisher : Walter de Gruyter
- ISBN : 9783110220209
- Genre : Mathematics
- Total Page : 234 pages
- Language : English
- PDF File Size : 18,8 Mb
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