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
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
Introduction to Harmonic Analysis and Generalized Gelfand Pairs
232
Introduction to Harmonic Analysis and Generalized Gelfand Pairs
232Hardcover
Product Details
| ISBN-13: | 9783110220193 |
|---|---|
| Publisher: | De Gruyter |
| Publication date: | 11/16/2009 |
| Series: | De Gruyter Studies in Mathematics , #36 |
| Pages: | 232 |
| Product dimensions: | 6.90(w) x 9.60(h) x 0.70(d) |
| Age Range: | 18 Years |