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#### Modern Fourier Analysis

Springer New York 2009; US$ 69.95The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. There are historical notes at the end of each chapter, and examples illustrate the definitions and ideas. more...

#### Singular Integrals And Related Topics

World Scientific Publishing Company 2007; US$ 88.00This book introduces some important progress in the theory of Calderon–Zygmund singular integrals, oscillatory singular integrals, and Littlewood–Paley theory over the last decade. It includes some important research results by the authors and their cooperators, such as singular integrals with rough kernels on Block spaces and Hardy spaces,... more...

#### Variable Lebesgue Spaces

Springer Basel 2013; US$ 139.00Here is an accessible introduction to the theory of variable Lebesgue spaces, beginning with the development of the basic function space properties, moving through harmonic analysis on variable Lebesgue spaces to basic results about variable Sobolev spaces. more...

#### Weighted Littlewood-Paley Theory and Exponential-Square Integrability

Springer Berlin Heidelberg 2007; US$ 69.95Littlewood-Paley theory is an essential tool of Fourier analysis, with applications and connections to PDEs, signal processing, and probability. It extends some of the benefits of orthogonality to situations where orthogonality doesn?t really make sense. It does so by letting us control certain oscillatory infinite series of functions in terms of... more...

#### Discrete Fourier Analysis and Wavelets

Wiley 2011; US$ 130.00A thorough guide to the classical and contemporary mathematical methods of modern signal and image processing Discrete Fourier Analysis and Wavelets presents a thorough introduction to the mathematical foundations of signal and image processing. Key concepts and applications are addressed in a thought-provoking manner and are implemented using... more...

#### Discrete and Continuous Fourier Transforms

CRC Press 2008; US$ 121.95Long employed in electrical engineering, the discrete Fourier transform (DFT) is now applied in a range of fields through the use of digital computers and fast Fourier transform (FFT) algorithms. But to correctly interpret DFT results, it is essential to understand the core and tools of Fourier analysis. Discrete and Continuous Fourier Transforms:... more...

#### Fast Fourier Transform - Algorithms and Applications

Springer Netherlands 2011; US$ 99.00Fast Fourier Transform - Algorithms and Applications presents an introduction to the principles of the fast Fourier transform (FFT). It covers FFTs, frequency domain filtering, and applications to video and audio signal processing. As fields like communications, speech and image processing, and related areas are rapidly developing, the FFT as one... more...

#### A First Course in Fourier Analysis

Cambridge University Press 2008; US$ 80.00This book introduces applied mathematics through Fourier analysis, with applications to studying sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. more...

#### The Fourfold Way in Real Analysis

Birkhäuser Basel 2006; US$ 139.00The n-dimensionalmetaplectic groupSp(n,R) is the twofoldcoverof the sympl- n n tic group Sp(n,R), which is the group of linear transformations ofX = R ×R that preserve the bilinear (alternate) form x y [( ), ( )] =? x, ? + y, ? . (0. 1) ? ? 2 n There is a unitary representation of Sp(n,R)intheHilbertspace L (R ), called the metaplectic representation,the... more...

#### Handbook of Fourier Analysis & Its Applications

Oxford University Press, USA 2009; US$ 169.99Fourier analysis has many scientific applications - in physics, number theory, combinatorics, signal processing, probability theory, statistics, option pricing, cryptography, acoustics, oceanography, optics and diffraction, geometry, and other areas. In signal processing and related fields, Fourier analysis is typically thought of as decomposing a... more...