In the late 1950s, many of the more refined aspects of Fourier analysis were transferred from their original settings (the unit circle, the integers, the real line) to arbitrary locally compact abelian (LCA) groups. Rudin's book, published in 1962, was the first to give a systematic account of these developments and has come to be regarded as a classic in the field. The basic facts concerning Fourier analysis and the structure of LCA groups are proved in the opening chapters, in order to make the treatment relatively self-contained.
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Fourier Analysis on Groups,
By Raymond Johnson (Lanham-Seabrook, MD United States) - See all my reviews
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This review is from: Fourier Analysis on Groups (Tracts in Pure & Applied Mathematics) (Hardcover)
This is a classic work in harmonic analysis, which is difficult to find in bookstores. I was very pleased with the condition of the book, and with my ability to acquire it at all.
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The material contained in this chapter forms the core of our subject and is used throughout the later part of this book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
maximal semigroup, coset ring, regular maximal ideal, complete direct sum, archimedean order, analytic contraction, complex homomorphism, piecewise affine map, maximal subalgebra, maximal ideal space, weak topology induced, compact open subgroup, discrete abelian group, bounded linear transformation, analytic type, bounded order, metric polynomials, spectral synthesis, closed ideal, closed subalgebra, dual group, inversion theorem, closed subgroup, trigonometric polynomial, bounded linear functional New!
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The material contained in this chapter forms the core of our subject and is used throughout the later part of this book. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
maximal semigroup, coset ring, regular maximal ideal, complete direct sum, archimedean order, analytic contraction, complex homomorphism, piecewise affine map, maximal subalgebra, maximal ideal space, weak topology induced, compact open subgroup, discrete abelian group, bounded linear transformation, analytic type, bounded order, metric polynomials, spectral synthesis, closed ideal, closed subalgebra, dual group, inversion theorem, closed subgroup, trigonometric polynomial, bounded linear functional New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 6
books:
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- Topological Transformation Groups by D. Montgomery in Back Matter
- Theory of the Integral (Dover Books on Mathematics) by Stanislaw Saks in Back Matter
- Measure Theory (Graduate Texts in Mathematics) (v. 18) by Paul R. Halmos in Back Matter
- Linear Operators, Part 1: General Theory (Pure and Applied Mathematics, Vol. 7) by Nelson Dunford in Back Matter
- Trigonometric Series (Cambridge Mathematical Library) by A. Zygmund in Back Matter
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- Volterra Integral and Functional Equations (Encyclopedia of Mathematics and its Applications) by G. Gripenberg on page 489, and Back Matter
- Current Trends in Operator Theory and Its Applications (Operator Theory: Advances and Applications) by Joseph A. Ball on page 152, and page 464
- Twietieth Century Harmonic Analysis- a Celebration (NATO Science Series II: Mathematics, Physics and Chemistry) by J.S. Byrnes on page 56, and page 269
- Introduction to Fourier Series (Chapman & Hall/CRC Pure and Applied Mathematics) by Rupert Lasser in Back Matter
- Mappings of Operator Algebras (Progress in Mathematics) by H. Araki on page 111
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