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#### Applications of Fourier Transforms to Generalized Functions

WIT Press 2011; US$ 166.00This book explains how Fourier transforms can be applied to generalized functions. The generalized function is one of the important branches of mathematics and is applicable in many practical fields. Its applications to the theory of distribution and signal processing are especially important. The Fourier transform is a mathematical procedure that... more...

#### Classical Fourier Analysis

Springer New York 2008; US$ 69.95The primary goal of this text is to present the theoretical foundation of the field of Fourier analysis. This book is mainly addressed to graduate students in mathematics and is designed to serve for a three-course sequence on the subject. The only prerequisite for understanding the text is satisfactory completion of a course in measure theory, Lebesgue... more...

#### Decay of the Fourier Transform

Springer Basel 2014; US$ 109.00Analytic and geometric properties of the underlying functions interact in a seamless symbiosis in this book, which examines the Decay of the Fourier Transform under various assumptions and circumstances. Goes far beyond the original L^2 setting. more...

#### Dihedral Fourier Analysis

Springer New York 2012; US$ 129.00Dihedral Fourier Analysis introduces the theory and applications necessary to study experimental data indexed by, or associated with, the points in a dihedral symmetry orbit. This book looks at experimental data and analytical models indexed by certain dihedral rotations and reversals realized as vector fields. Its particular relevance as a research... 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...

#### Extremal Problems in Interpolation Theory, Whitney-Besicovitch Coverings, and Singular Integrals

Springer Basel 2012; US$ 129.00This book proposes a unified method for the construction of near-minimizers for certain important functions, which arise in approximation, harmonic analysis and ill-posed problems and are most widely used in interpolation theory. 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...