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Fourier Analysis and Imaging, Bracewell Ronald



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Автор: Bracewell Ronald
Название:  Fourier Analysis and Imaging
ISBN: 9780306481871
Издательство: Springer
Классификация:
ISBN-10: 0306481871
Обложка/Формат: Hardback
Страницы: 704
Вес: 1.438 кг.
Дата издания: 2004
Язык: English
Иллюстрации: 399 black & white illustrations
Размер: 26.11 x 18.49 x 4.19
Читательская аудитория: Postgraduate, research & scholarly
Ссылка на Издательство: Link
Рейтинг:
Поставляется из: Германии
Дополнительное описание: Илюстрации: 399
Круг читателей: Researchers, scientists
Язык: eng
Оглавление: Introduction.- The Image Plane.- Two-dimensional Impulse Functions.- The Two-dimensional Fourier Transform.- Two-dimensional Convolution.- The Two-dimensional Convolution Theorem.- Sampling and Interpolation in Two Dimensions.- Digital Operations.- Rotational Symmetry.- Imaging by Convolution.- Diffraction Theory of Sensors and Radiators.- Aperture Synthesis and Interferometry.- Restoration.- The Projection-slice Thoerem.- Computed Tomography.- Synthetic-aperature Radar.- Two-dimensional Noise Images.- Appendix A. Solutions to Problems.- Index





Fourier Analysis

Автор: Eric Stade
Название: Fourier Analysis
ISBN: 0471669849 ISBN-13(EAN): 9780471669845
Издательство: Wiley
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Цена: 20068 р.
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Описание: Rich in both theory and application, Fourier Analysis presents a unique and thorough approach to a key topic in advanced calculus. Written at a rigorous level yet in an engaging style that does not dilute the material, Eric Stade brings two profound aspects of the discipline to the forefront: the wealth of applications of Fourier analysis in the natural sciences, and the enormous impact Fourier analysis has had on the development of mathematics as a whole. Based upon the principle that theory and practice are fundamentally linked, Fourier Analysis is the ideal text and reference for students in mathematics, engineering, physics, as well as scientists and technicians in a broad range of disciplines who use Fourier analysis in real world situations.

Fourier Analysis and Its Applications

Автор: Vretblad
Название: Fourier Analysis and Its Applications
ISBN: 0387008365 ISBN-13(EAN): 9780387008363
Издательство: Springer
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Цена: 6000 р.
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Описание: This book is a carefully prepared account of the basic ideas in Fourier analysis and its applications to the study of partial differential equations. The author succeeds to make his exposition accessible to readers with a limited background, for example, those not acquainted with the Lebesgue integral. Readers should be familiar with calculus, linear algebra, and complex numbers. At the same time, the author has managed to include discussions of more advanced topics such as the Gibbs phenomenon, distributions, Sturm-Liouville theory, Cesaro summability and multi-dimensional Fourier analysis, topics which one usually does not find in books at this level. A variety of worked examples and exercises will help the readers to apply their newly acquired knowledge.

Mathematical Principles of Signal Processing / Fourier and Wavelet Analysis

Автор: Bremaud Pierre
Название: Mathematical Principles of Signal Processing / Fourier and Wavelet Analysis
ISBN: 0387953388 ISBN-13(EAN): 9780387953380
Издательство: Springer
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Цена: 9239 р.
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Описание: Fourier analysis is one of the most useful tools in many applied sciences. The recent developments of wavelet analysis indicate that in spite of its long history and well-established applications, the field is still one of active research. This text bridges the gap between engineering and mathematics, providing a rigorously mathematical introduction of Fourier analysis, wavelet analysis and related mathematical methods, while emphasizing their uses in signal processing and other applications in communications engineering. The interplay between Fourier series and Fourier transforms is at the heart of signal processing, which is couched most naturally in terms of the Dirac delta function and Lebesgue integrals. The exposition is organized into four parts. The first is a discussion of one-dimensional Fourier theory, including the classical results on convergence and the Poisson sum formula. The second part is devoted to the mathematical foundations of signal processing Вї sampling, filtering, digital signal processing. Fourier analysis in Hilbert spaces is the focus of the third part, and the last part provides an introduction to wavelet analysis, time-frequency issues, and multiresolution analysis. An appendix provides the necessary background on Lebesgue integrals.

The Fourier Integral and Certain of its Applications

Автор: Wiener, Norbert
Название: The Fourier Integral and Certain of its Applications
ISBN: 0521358841 ISBN-13(EAN): 9780521358842
Издательство: Cambridge Academ
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Цена: 4244 р.
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Описание: The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour.

An Introduction to Laplace transforms and Fourier series

Автор: Dyke, P. P. G.
Название: An Introduction to Laplace transforms and Fourier series
ISBN: 1852330155 ISBN-13(EAN): 9781852330156
Издательство: Springer
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Цена: 4037 р.
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Описание: The Laplace transform is a useful tool for solving practical mathematical problems. It has a wealth of applications (for example, engineers use it to solve engineering problems). This book takes introduces the basics of Laplace Transforms.

Early Fourier Analysis

Автор: Montgomery Hugh L.
Название: Early Fourier Analysis
ISBN: 1470415607 ISBN-13(EAN): 9781470415600
Издательство: Eurospan
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Цена: 11140 р.
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Описание: Fourier Analysis is an important area of mathematics, especially in light of its importance in physics, chemistry, and engineering. Yet it seems that this subject is rarely offered to undergraduates. This book introduces Fourier Analysis in its three most classical settings: The Discrete Fourier Transform for periodic sequences, Fourier Series for periodic functions, and the Fourier Transform for functions on the real line.The presentation is accessible for students with just three or four terms of calculus, but the book is also intended to be suitable for a junior-senior course, for a capstone undergraduate course, or for beginning graduate students. Material needed from real analysis is quoted without proof, and issues of Lebesgue measure theory are treated rather informally. Included are a number of applications of Fourier Series, and Fourier Analysis in higher dimensions is briefly sketched. A student may eventually want to move on to Fourier Analysis discussed in a more advanced way, either by way of more general orthogonal systems, or in the language of Banach spaces, or of locally compact commutative groups, but the experience of the classical setting provides a mental image of what is going on in an abstract setting.

Fourier Analysis

Автор: Constantin
Название: Fourier Analysis
ISBN: 110762035X ISBN-13(EAN): 9781107620353
Издательство: Cambridge Academ
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Цена: 5614 р.
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Описание: Fourier analysis aims to decompose functions into a superposition of simple trigonometric functions, whose special features can be exploited to isolate specific components into manageable clusters before reassembling the pieces. This two-volume text presents a largely self-contained treatment, comprising not just the major theoretical aspects (Part I) but also exploring links to other areas of mathematics and applications to science and technology (Part II). Following the historical and conceptual genesis, this book (Part I) provides overviews of basic measure theory and functional analysis, with added insight into complex analysis and the theory of distributions. The material is intended for both beginning and advanced graduate students with a thorough knowledge of advanced calculus and linear algebra. Historical notes are provided and topics are illustrated at every stage by examples and exercises, with separate hints and solutions, thus making the exposition useful both as a course textbook and for individual study.

Number Theory, Fourier Analysis and Geometric Discrepancy

Автор: Travaglini
Название: Number Theory, Fourier Analysis and Geometric Discrepancy
ISBN: 1107044030 ISBN-13(EAN): 9781107044036
Издательство: Cambridge Academ
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Цена: 15065 р.
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Описание: The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

Number Theory, Fourier Analysis and Geometric Discrepancy

Автор: Travaglini
Название: Number Theory, Fourier Analysis and Geometric Discrepancy
ISBN: 1107619858 ISBN-13(EAN): 9781107619852
Издательство: Cambridge Academ
Рейтинг:
Цена: 3285 р.
Наличие на складе: Поставка под заказ.

Описание: The study of geometric discrepancy, which provides a framework for quantifying the quality of a distribution of a finite set of points, has experienced significant growth in recent decades. This book provides a self-contained course in number theory, Fourier analysis and geometric discrepancy theory, and the relations between them, at the advanced undergraduate or beginning graduate level. It starts as a traditional course in elementary number theory, and introduces the reader to subsequent material on uniform distribution of infinite sequences, and discrepancy of finite sequences. Both modern and classical aspects of the theory are discussed, such as Weyl's criterion, Benford's law, the Koksma–Hlawka inequality, lattice point problems, and irregularities of distribution for convex bodies. Fourier analysis also features prominently, for which the theory is developed in parallel, including topics such as convergence of Fourier series, one-sided trigonometric approximation, the Poisson summation formula, exponential sums, decay of Fourier transforms, and Bessel functions.

Fourier analysis in convex geometry

Автор: Koldobsky, Alexander
Название: Fourier analysis in convex geometry
ISBN: 0821837877 ISBN-13(EAN): 9780821837870
Издательство: Eurospan
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Цена: 7749 р.
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Описание: Discusses Fourier analysis approach. This book expresses certain geometric properties of bodies in terms of Fourier analysis and uses harmonic analysis methods to solve geometric problems. It is suitable for graduate students and researchers interested in geometry, harmonic and functional analysis, and probability.

Fourier Analysis of Time Series: An Introduction, 2nd Edition

Автор: Peter Bloomfield
Название: Fourier Analysis of Time Series: An Introduction, 2nd Edition
ISBN: 0471889482 ISBN-13(EAN): 9780471889489
Издательство: Wiley
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Цена: 21168 р.
Наличие на складе: Поставка под заказ.

Описание: Combining both the theory and the applications of Fourier analysis, this work discusses several topics, including harmonic regression, harmonic analysis, complex demodulation, and spectrum analysis.

Fourier Integrals in Classical Analysis

Автор: Sogge
Название: Fourier Integrals in Classical Analysis
ISBN: 1107120071 ISBN-13(EAN): 9781107120075
Издательство: Cambridge Academ
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Цена: 13694 р.
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Описание: This advanced monograph is concerned with modern treatments of central problems in harmonic analysis. The main theme of the book is the interplay between ideas used to study the propagation of singularities for the wave equation and their counterparts in classical analysis. In particular, the author uses microlocal analysis to study problems involving maximal functions and Riesz means using the so-called half-wave operator. To keep the treatment self-contained, the author begins with a rapid review of Fourier analysis and also develops the necessary tools from microlocal analysis. This second edition includes two new chapters. The first presents Hormander's propagation of singularities theorem and uses this to prove the Duistermaat–Guillemin theorem. The second concerns newer results related to the Kakeya conjecture, including the maximal Kakeya estimates obtained by Bourgain and Wolff.


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