Discrete Spectral Synthesis and Its Applications
Discrete Spectral Synthesis and Its Applications

Author: László Székelyhidi

Publisher: Springer Science & Business Media

Published: 2007-01-25

Total Pages: 119

ISBN-13: 1402046375

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This book studies the situation over discrete Abelian groups with wide range applications. It covers classical functional equations, difference and differential equations, polynomial ideals, digital filtering and polynomial hypergroups, giving unified treatment of several different problems. There is no other comprehensive work in this field. The book will be of interest to graduate students, research workers in harmonic analysis, spectral analysis, functional equations and hypergroups.

Real-time Spectral Synthesis in Fourier Spectroscopy
Real-time Spectral Synthesis in Fourier Spectroscopy

Author: Joseph E. Hoffman

Publisher:

Published: 1966

Total Pages: 10

ISBN-13:

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A real-time technique to synthesize the spectral distribution from the corresponding interferogram is described. A portable real-time synthesizer has been constructed and test results are presented. Functions with known spectra and an actual interferogram have been used for purposes of evaluation.

Spectral Audio Signal Processing
Spectral Audio Signal Processing

Author: Julius Orion Smith

Publisher:

Published: 2007

Total Pages: 654

ISBN-13:

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"Spectral Audio Signal Processing is the fourth book in the music signal processing series by Julius O. Smith. One can say that human hearing occurs in terms of spectral models. As a result, spectral models are especially useful in audio applications. For example, with the right spectral model, one can discard most of the information contained in a sound waveform without changing how it sounds. This is the basis of modern audio compression techniques."--Publisher's description.

An Introduction to Local Spectral Theory
An Introduction to Local Spectral Theory

Author: K. B. Laursen

Publisher: Oxford University Press

Published: 2000

Total Pages: 610

ISBN-13: 9780198523819

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Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory. It gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. One of its highlights are the many characterizations of decomposable operators, and of other related, important classes of operators, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, extensive references, and open problems, suitable for continued research.

Mathematical Analysis and Applications
Mathematical Analysis and Applications

Author: Michael Ruzhansky

Publisher: John Wiley & Sons

Published: 2018-04-11

Total Pages: 1021

ISBN-13: 1119414334

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An authoritative text that presents the current problems, theories, and applications of mathematical analysis research Mathematical Analysis and Applications: Selected Topics offers the theories, methods, and applications of a variety of targeted topics including: operator theory, approximation theory, fixed point theory, stability theory, minimization problems, many-body wave scattering problems, Basel problem, Corona problem, inequalities, generalized normed spaces, variations of functions and sequences, analytic generalizations of the Catalan, Fuss, and Fuss–Catalan Numbers, asymptotically developable functions, convex functions, Gaussian processes, image analysis, and spectral analysis and spectral synthesis. The authors—a noted team of international researchers in the field— highlight the basic developments for each topic presented and explore the most recent advances made in their area of study. The text is presented in such a way that enables the reader to follow subsequent studies in a burgeoning field of research. This important text: Presents a wide-range of important topics having current research importance and interdisciplinary applications such as game theory, image processing, creation of materials with a desired refraction coefficient, etc. Contains chapters written by a group of esteemed researchers in mathematical analysis Includes problems and research questions in order to enhance understanding of the information provided Offers references that help readers advance to further study Written for researchers, graduate students, educators, and practitioners with an interest in mathematical analysis, Mathematical Analysis and Applications: Selected Topics includes the most recent research from a range of mathematical fields.

Nonlinear Analysis
Nonlinear Analysis

Author: Panos M. Pardalos

Publisher: Springer Science & Business Media

Published: 2012-06-02

Total Pages: 898

ISBN-13: 146143498X

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The volume will consist of about 40 articles written by some very influential mathematicians of our time and will expose the latest achievements in the broad area of nonlinear analysis and its various interdisciplinary applications.

Banach Algebras and Their Applications
Banach Algebras and Their Applications

Author: Anthony To-Ming Lau

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 362

ISBN-13: 0821834711

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This proceedings volume is from the international conference on Banach Algebras and Their Applications held at the University of Alberta (Edmonton). It contains a collection of refereed research papers and high-level expository articles that offer a panorama of Banach algebra theory and its manifold applications. Topics in the book range from - theory to abstract harmonic analysis to operator theory. It is suitable for graduate students and researchers interested in Banach algebras.