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Abelian Harmonic Analysis Theta Functions And Function Algebras On A Nilmanifold
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Book Synopsis Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold by : L. Auslander
Download or read book Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold written by L. Auslander and published by Springer. This book was released on 2006-11-15 with total page 104 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold by : L. Auslander
Download or read book Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold written by L. Auslander and published by Lecture Notes in Mathematics. This book was released on 1975-01-29 with total page 116 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abelian harmonic analysis, theta functions and function algebras on a nilmanifold by : Louis Auslander
Download or read book Abelian harmonic analysis, theta functions and function algebras on a nilmanifold written by Louis Auslander and published by . This book was released on 1975 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold by : L. Auslander
Download or read book Abelian Harmonic Analysis, Theta Functions and Functional Algebras on a Nilmanifold written by L. Auslander and published by . This book was released on 2014-01-15 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Foundations of Time-Frequency Analysis by : Karlheinz Gröchenig
Download or read book Foundations of Time-Frequency Analysis written by Karlheinz Gröchenig and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 367 pages. Available in PDF, EPUB and Kindle. Book excerpt: Time-frequency analysis is a modern branch of harmonic analysis. It com prises all those parts of mathematics and its applications that use the struc ture of translations and modulations (or time-frequency shifts) for the anal ysis of functions and operators. Time-frequency analysis is a form of local Fourier analysis that treats time and frequency simultaneously and sym metrically. My goal is a systematic exposition of the foundations of time-frequency analysis, whence the title of the book. The topics range from the elemen tary theory of the short-time Fourier transform and classical results about the Wigner distribution via the recent theory of Gabor frames to quantita tive methods in time-frequency analysis and the theory of pseudodifferential operators. This book is motivated by applications in signal analysis and quantum mechanics, but it is not about these applications. The main ori entation is toward the detailed mathematical investigation of the rich and elegant structures underlying time-frequency analysis. Time-frequency analysis originates in the early development of quantum mechanics by H. Weyl, E. Wigner, and J. von Neumann around 1930, and in the theoretical foundation of information theory and signal analysis by D.
Book Synopsis Classical and Quantum Models and Arithmetic Problems by : Chudnovsky
Download or read book Classical and Quantum Models and Arithmetic Problems written by Chudnovsky and published by Routledge. This book was released on 2018-10-08 with total page 490 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is an unsurpassed resource-important accounts of a variety of dynamic systems topicsrelated to number theory. Twelve distinguished mathematicians present a rare complete analyticsolution of a geodesic quantum problem on a negatively curved surface ... and explicitdetermination of modular function growth near a real point .. . applications of number theoryto dynamical systems and applications of mathematical physics to number theory . ..tributes to the often-unheralded pioneers in the field ... an examination of completely integrableand exactly solvable physical models .. . and much more!Classical and Quantum Models and Arithmetic Problems is certainly a major source of information,advancing the studies of number theorists, algebraists, and mathematical physicistsinterested in complex mathematical properties of quantum field theory, statistical mechanics,and dynamic systems. Moreover, the volume is a superior source of supplementary readingfor graduate-level courses in dynamic systems and application of number theory .
Book Synopsis Acoustic Signal Processing for Ocean Exploration by : J.M.F Moura
Download or read book Acoustic Signal Processing for Ocean Exploration written by J.M.F Moura and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 671 pages. Available in PDF, EPUB and Kindle. Book excerpt: Acoustic Signal Processing for Ocean Explortion has two major goals: (i) to present signal processing algorithms that take into account the models of acoustic propagation in the ocean and; (ii) to give a perspective of the broad set of techniques, problems, and applications arising in ocean exploration. The book discusses related issues and problems focused in model based acoustic signal processing methods. Besides addressing the problem of the propagation of acoustics in the ocean, it presents relevant acoustic signal processing methods like matched field processing, array processing, and localization and detection techniques. These more traditional contexts are herein enlarged to include imaging and mapping, and new signal representation models like time/frequency and wavelet transforms. Several applied aspects of these topics, such as the application of acoustics to fisheries, sea floor swath mapping by swath bathymetry and side scan sonar, autonomous underwater vehicles and communications in underwater are also considered.
Book Synopsis Multivariate Approximation Theory III by : SCHEMPP
Download or read book Multivariate Approximation Theory III written by SCHEMPP and published by Birkhäuser. This book was released on 2013-03-07 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Fourth International Symposium on Multivariate Approximation Theory was held at the Oberwolfach Mathematical Research Insti tute, Black Forest, W.-Germany, during the week of January 20 - 26, 1985. The preceding conferences on this topic were held in 1976, 1979, and 1982 * . We were pleased to have more than 50 mathematicians from 13 countries in attendance. The program in cluded 40 lectures. These Proceedings form a record of most of the papers presented at the Symposium. The topics treated cover different problems on multivariate approximation such as polynomial approximation on simplices, multivariate splines (box-splines, dimension of spline spaces), blending methods, multivariate Hermite interpolation, data smoothing and surface representation, and multivariate summation methods. We would like to thank the director of the Oberwolfach Mathe matical Research Institute, Prof. Dr. M. Barner, and his staff for providing the facilities. Of the people who gave their time to help make this conference a success, we would like to mention in particular Prof. Dr. F.J. Delvos (Siegen), Dr. G. Baszenski (College Station, Texas), and Dipl.-Math. H. Nienhaus (Siegen). Finally, our thanks are due to Carl Einsele of Birkhauser Publishers for his valuable cooperation.
Author :Franklin E. Schroeck Jr. Publisher :Springer Science & Business Media ISBN 13 :9401728305 Total Pages :687 pages Book Rating :4.4/5 (17 download)
Book Synopsis Quantum Mechanics on Phase Space by : Franklin E. Schroeck Jr.
Download or read book Quantum Mechanics on Phase Space written by Franklin E. Schroeck Jr. and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 687 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this monograph, we shall present a new mathematical formulation of quantum theory, clarify a number of discrepancies within the prior formulation of quantum theory, give new applications to experiments in physics, and extend the realm of application of quantum theory well beyond physics. Here, we motivate this new formulation and sketch how it developed. Since the publication of Dirac's famous book on quantum mechanics [Dirac, 1930] and von Neumann's classic text on the mathematical foundations of quantum mechanics two years later [von Neumann, 1932], there have appeared a number of lines of development, the intent of each being to enrich quantum theory by extra polating or even modifying the original basic structure. These lines of development have seemed to go in different directions, the major directions of which are identified here: First is the introduction of group theoretical methods [Weyl, 1928; Wigner, 1931] with the natural extension to coherent state theory [Klauder and Sudarshan, 1968; Peremolov, 1971]. The call for an axiomatic approach to physics [Hilbert, 1900; Sixth Problem] led to the development of quantum logic [Mackey, 1963; Jauch, 1968; Varadarajan, 1968, 1970; Piron, 1976; Beltrametti & Cassinelli, 1981], to the creation of the operational approach [Ludwig, 1983-85, 1985; Davies, 1976] with its application to quantum communication theory [Helstrom, 1976; Holevo, 1982), and to the development of the C* approach [Emch, 1972]. An approach through stochastic differential equations ("stochastic mechanics") was developed [Nelson, 1964, 1966, 1967].
Book Synopsis The History of Combinatorial Group Theory by : B. Chandler
Download or read book The History of Combinatorial Group Theory written by B. Chandler and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the pervasive phenomena in the history of science is the development of independent disciplines from the solution or attempted solutions of problems in other areas of science. In the Twentieth Century, the creation of specialties witqin the sciences has accelerated to the point where a large number of scientists in any major branch of science cannot understand the work of a colleague in another subdiscipline of his own science. Despite this fragmentation, the development of techniques or solutions of problems in one area very often contribute fundamentally to solutions of problems in a seemingly unrelated field. Therefore, an examination of this phenomenon of the formation of independent disciplines within the sciences would contrib ute to the understanding of their evolution in modern times. We believe that in this context the history of combinatorial group theory in the late Nineteenth Century and the Twentieth Century can be used effectively as a case study. It is a reasonably well-defined independent specialty, and yet it is closely related to other mathematical disciplines. The fact that combinatorial group theory has, so far, not been influenced by the practical needs of science and technology makes it possible for us to use combinatorial group theory to exhibit the role of the intellectual aspects of the development of mathematics in a clearcut manner. There are other features of combinatorial group theory which appear to make it a reasona ble choice as the object of a historical study.
Book Synopsis Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations by : I. Gohberg
Download or read book Continuous and Discrete Fourier Transforms, Extension Problems and Wiener-Hopf Equations written by I. Gohberg and published by Birkhäuser. This book was released on 2012-12-06 with total page 223 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author :Library of Congress. Copyright Office Publisher :Copyright Office, Library of Congress ISBN 13 : Total Pages :1608 pages Book Rating :4.F/5 ( download)
Book Synopsis Catalog of Copyright Entries. Third Series by : Library of Congress. Copyright Office
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1976 with total page 1608 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometry and Topology by : Jacob Palis
Download or read book Geometry and Topology written by Jacob Palis and published by Springer. This book was released on 2006-11-15 with total page 876 pages. Available in PDF, EPUB and Kindle. Book excerpt: III. Latin American School of Mathematics
Book Synopsis Gabor Analysis and Algorithms by : Hans G. Feichtinger
Download or read book Gabor Analysis and Algorithms written by Hans G. Feichtinger and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: In his paper Theory of Communication [Gab46], D. Gabor proposed the use of a family of functions obtained from one Gaussian by time-and frequency shifts. Each of these is well concentrated in time and frequency; together they are meant to constitute a complete collection of building blocks into which more complicated time-depending functions can be decomposed. The application to communication proposed by Gabor was to send the coeffi cients of the decomposition into this family of a signal, rather than the signal itself. This remained a proposal-as far as I know there were no seri ous attempts to implement it for communication purposes in practice, and in fact, at the critical time-frequency density proposed originally, there is a mathematical obstruction; as was understood later, the family of shifted and modulated Gaussians spans the space of square integrable functions [BBGK71, Per71] (it even has one function to spare [BGZ75] . . . ) but it does not constitute what we now call a frame, leading to numerical insta bilities. The Balian-Low theorem (about which the reader can find more in some of the contributions in this book) and its extensions showed that a similar mishap occurs if the Gaussian is replaced by any other function that is "reasonably" smooth and localized. One is thus led naturally to considering a higher time-frequency density.
Book Synopsis Lecture Notes on Nil-Theta Functions by : Louis Auslander
Download or read book Lecture Notes on Nil-Theta Functions written by Louis Auslander and published by American Mathematical Soc.. This book was released on 1977 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: Consists of three chapters covering the following topics: foundations, bilinear forms and presentations of certain 2-step nilpotent Lie groups, discrete subgroups of the Heisenberg group, the automorphism group of the Heisenberg group, fundamental unitary representations of the Heisenberg group, and the Fourier transform and the Weil-Brezin map.
Book Synopsis Non-Commutative Harmonic Analysis by : J. Carmona
Download or read book Non-Commutative Harmonic Analysis written by J. Carmona and published by Springer. This book was released on 2006-11-15 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Harmonic Analysis on Real Reductive Groups by : V.S. Varadarajan
Download or read book Harmonic Analysis on Real Reductive Groups written by V.S. Varadarajan and published by Springer. This book was released on 2006-11-14 with total page 531 pages. Available in PDF, EPUB and Kindle. Book excerpt:
