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Books, Free Shipping, A First Course In Harmonic Analysis

Posted at: Offers to Sell and Export | Posted on: Fri 30 Jul, 2010 9:44 am | Product Category: Reference books [3760]
books shipping course harmonic analysis
Products Photos CatalogBooks Shipping Course Photos Catalog

Product Details

Author Deitmar A.

Publisher World Publishing Corporation

Isbn 9787510004827, 7510004829


June 2009

Pages 192

Size 24k

Edition First

Format Paperback

Language English

Page material gelatine plate paper

Product Description:

Exponentials、The Bessel Inequality、Convergence in the L2-Norm、Uniform Convergence of Fourier Series 、Periodic Functions Revisited、Exercises


I Fourier Analysis

1 Fourier Series

1.1 Periodic Functions

1.2 Exponentials

1.3 The Bessel Inequality

1.4 Convergence in the L2-Norm

1.5 Uniform Convergence of Fourier Series

1.6 Periodic Functions Revisited

1.7 Exercises

2 Hilbert Spaces

2.1 Pre-Hilbert and Hilbert Spaces

2.2 2-Spaces

2.3 Orthonormal Bases and Completion

2.4 Fourier Series Revisited

2.5 Exercises

3 The Fourier Transform

3.1 Convergence Theorems

3.2 Convolution

3.3 The Transform

3.4 The Inversion Formula

3.5 Plancherel's Theorem

3.6 The Poisson Summation Formula

3.7 Theta Series

3.8 Exercises

4 Distributions

4.1 Definition

4.2 The Derivative of a Distribution

4.3 Tempered Distributions

4.4 Fourier Transform

4.5 Exercises

II LCA Groups

5 Finite Abelian Groups

5.1 The Dual Group

5.2 The Fourier Transform

5.3 Convolution

5.4 Exercises

6 LCA Groups

  6.1. Metric Spaces and Topology

 6.2 Completion

 6.3 LCA Groups

6.4 Exercises

7 The Dual Group

7.1 The Dual as LCA Group

8 Plancherel Theorem

III Noncommutative Groups

9 Matrix Groups

10 The Representations of SU(2)

11 The Peter-Weyl Theorem

12 The Heisenberg Group

A The Riemann Zeta Function

B Haar Integration



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