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Harmonic Analysis On The Heisenberg Nilpotent Lie Group With Applications To Signal Theory Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Harmonic Analysis On The Heisenberg Nilpotent Lie Group With Applications To Signal Theory book. This book definitely worth reading, it is an incredibly well-written.
Author : Walter Schempp
Publisher : Longman Publishing Group
Page : 220 pages
File Size : 48,7 Mb
Release : 1986
Category : Harmonic analysis
ISBN : UCAL:B4405819
Author : Yves Meyer,Sylvie Roques
Publisher : Atlantica Séguier Frontières
Page : 808 pages
File Size : 43,8 Mb
Release : 1993
Category : Wavelets
ISBN : 2863321307
Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : Courier Dover Publications
Page : 881 pages
File Size : 49,7 Mb
Release : 2016-07-20
Category : Mathematics
ISBN : 9780486795645
Although the Fourier transform is among engineering's most widely used mathematical tools, few engineers realize that the extension of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. This self-contained approach, geared toward readers with a standard background in engineering mathematics, explores the widest possible range of applications to fields such as robotics, mechanics, tomography, sensor calibration, estimation and control, liquid crystal analysis, and conformational statistics of macromolecules. Harmonic analysis is explored in terms of particular Lie groups, and the text deals with only a limited number of proofs, focusing instead on specific applications and fundamental mathematical results. Forming a bridge between pure mathematics and the challenges of modern engineering, this updated and expanded volume offers a concrete, accessible treatment that places the general theory in the context of specific groups.
Author : J.S. Byrnes
Publisher : Springer Science & Business Media
Page : 675 pages
File Size : 55,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400906655
This volume contains papers presented at the July, 1989 NATO Advanced Study Institute on Fourier Analysis and its Applications. The conference, held at the beautiful II Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy, created a dynamic in teraction between world-renowned scientists working in the usually disparate communities of pure and applied Fourier analysts. The papers to be found herein include important new results in x-ray crystallography by Nobel Laureate Herbert Hauptman, the application of the new concept of bispectrum to system identification by renowned probabilist Athanasios Papoulis, fascinating appli cations of number theory in Fourier analysis by eminent electrical engineer Manfred R. Schroeder, and exciting concepts regarding polynomials with restricted coefficients by foremost mathematical problem solver Donald J. Newman. The remaining papers further illustrate the inherent power and beauty of classical Fourier analysis, whether the results presented were sought as an end in themselves, or whether these classical methods were employed as a tool in illustrating and solving a particular applied problem. From antenna design to concert hall acoustics to image and speech processing to unimodular polynomi als, each conference participant benefited significantly from his or her exposure, in many cases for the first time, to those scientists on the other end of the spectrum from them selves. The purpose of this volume is to pass those benefits on to the reader.
Author : A.A. Kirillov
Publisher : Springer Science & Business Media
Page : 274 pages
File Size : 49,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9783662097564
Two surveys introducing readers to the subjects of harmonic analysis on semi-simple spaces and group theoretical methods, and preparing them for the study of more specialised literature. This book will be very useful to students and researchers in mathematics, theoretical physics and those chemists dealing with quantum systems.
Author : Gregory S. Chirikjian,Alexander B. Kyatkin
Publisher : CRC Press
Page : 555 pages
File Size : 50,8 Mb
Release : 2021-02-25
Category : Mathematics
ISBN : 9781000697339
First published in 2001. The classical Fourier transform is one of the most widely used mathematical tools in engineering. However, few engineers know that extensions of harmonic analysis to functions on groups holds great potential for solving problems in robotics, image analysis, mechanics, and other areas. For those that may be aware of its potential value, there is still no place they can turn to for a clear presentation of the background they need to apply the concept to engineering problems. Engineering Applications of Noncommutative Harmonic Analysis brings this powerful tool to the engineering world. Written specifically for engineers and computer scientists, it offers a practical treatment of harmonic analysis in the context of particular Lie groups (rotation and Euclidean motion). It presents only a limited number of proofs, focusing instead on providing a review of the fundamental mathematical results unknown to most engineers and detailed discussions of specific applications. Advances in pure mathematics can lead to very tangible advances in engineering, but only if they are available and accessible to engineers. Engineering Applications of Noncommutative Harmonic Analysis provides the means for adding this valuable and effective technique to the engineer's toolbox.
Author : Ernst Binz,Sonja Pods
Publisher : American Mathematical Soc.
Page : 321 pages
File Size : 53,9 Mb
Release : 2008
Category : Mathematics
ISBN : 9780821844953
"The three-dimensional Heisenberg group, being a quite simple non-commutative Lie group, appears prominently in various applications of mathematics. The goal of this book is to present basic geometric and algebraic properties of the Heisenberg group and its relation to other important mathematical structures (the skew field of quaternions, symplectic structures, and representations) and to describe some of its applications. In particular, the authors address such subjects as signal analysis and processing, geometric optics, and quantization. In each case, the authors present necessary details of the applied topic being considered." "This book manages to encompass a large variety of topics being easily accessible in its fundamentals. It can be useful to students and researchers working in mathematics and in applied mathematics."--BOOK JACKET.
Author : SCHEMPP,ZELLER
Publisher : Birkhäuser
Page : 396 pages
File Size : 43,5 Mb
Release : 2013-03-07
Category : Science
ISBN : 9783034893213
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 : J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry
Publisher : Springer Science & Business Media
Page : 688 pages
File Size : 49,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401127912
Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.
Author : Audrey Terras
Publisher : Cambridge University Press
Page : 456 pages
File Size : 47,5 Mb
Release : 1999-03-28
Category : Mathematics
ISBN : 0521457181
It examines the theory of finite groups in a manner that is both accessible to the beginner and suitable for graduate research.
Author : CHUI,SCHEMP,ZELLER
Publisher : Birkhäuser
Page : 348 pages
File Size : 40,5 Mb
Release : 2013-03-08
Category : Science
ISBN : 9783034872980
Multivariate Approximation Theory forms a rapidly evolving field in Applied Mathematics. The reason for its particular current interest lies in its impact on Computer Aided Geometric Design (CAGD), Image Processing, Pattern Recogni tion, and Mult idimensional Signal Processing. Mul ti var iate Bernstein polynomials and box splines, for example, play an important role in CAGD. Conversely, the highly important filter bank design problem of signal processing, for instance, gives rise to a new family of multivariate approximating functions, the Gabor wavelets, with interesting technological and biological applications. The conferences on Multivariate Approximation Theory held at the Mathematical Research Institute at Oberwolfach, Black Forest, in 1976, 1979, 1982, 1985 and 1989 ref lect the progress made in this area and related fie Ids. The present volume which is a continuation of the preceding volumes Constructive Theory of Functions of Several Variables, Lecture Notes in Mathematics 571 (1977) Multivariate Approximation Theory, ISNM 51 (1979) Multivariate Approximation Theory II, ISNM 61 (1982) Multivariate Approximation Theory III, ISNM 75 (1985) is based on the conference held on February 12-18, 1989. It includes most of the lectures presented at the Oberwolfach meeting and reveals the wide spectrum of activities in the field of multivariate approximation. The organizers are grateful to the Director of the Oberwolfach Mathematical Research Institute, Professor Dr. M. Barner, and his staff for providing the facili ties, and to Dr. G. Baszenski, Professor Dr. F. J. Delvos, Dr. H.
Author : H Neunzert
Publisher : Springer Science & Business Media
Page : 358 pages
File Size : 47,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789400929791
"Mathematics in Industry" - since the volume containing the proceedings of the 1985 Oberwolfach conference was published*), this subject has become more fashionable in Europe, America and also in the third world. The Europeans have come closer to each other: They formed a European Consortium for Mathematics in Industry, abbreviated ECMI. This ECMI supported mainly by mathematicians from Amsterdam, Bari, Eindhoven, Firenze, Kaiserslautem, Limerick, Linz, Paris, Oxford and Trondheim has become a legal entity with a rapidly growing number of members. It has organized a common, really European postgraduate programme, establishes contact between industry and universities and organizes other confer ences everywhere in the world. Industrial mathematics is a special method to get interesting problems; a special attitude of curiosity for technical or economical questions; a general rather broad knowledge in all branches of mathematics; but it always remains real mathematics. Our first proceedings contained many articles about "why and how to start". Now we are more selfconfident about our ideas: These proceedings include only exam ples of "how to do". It is a pleasure to see how many different kinds of good mathematics are applied to so many different problems from industry. Part of the selection criteria for this volume was that some of the applications of what is usually considered ivory tower mathematics be represented.
Author : J.S. Byrnes,Kathryn A. Hargreaves,Karl Berry
Publisher : Springer Science & Business Media
Page : 419 pages
File Size : 50,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9789401110280
It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet. Hence, if they actually meet, that is, if they are at least so much related to each other that a real interaction can take place, then one may hope that new and interesting developments may follow. Werner Heisenberg This volume contains papers presented at the August 1992 NATO Advanced Study Institute on Wavelets and Their Applications. The conference was held at the beautiful Il Ciocco resort near Lucca, in the glorious Tuscany region of northern Italy. Once again we gathered at this idyllic spot to explore and extend the reciprocity between mathematics and engineering. The dynamic interaction between world-renowned scientists from the usu ally disparate communities of pure mathematicians and applied scientists, which occurred at our 1989 and 1991 ASI's, continued at this meeting. Wavelet theory and technology is in an important growth stage at which theoretical and practical results are being compared with existing methods. There have been spectacular wavelet successes and sobering comparisons with traditional ideas-but still there is a wide expanse of scientific problems to explore. Since these problems lie at the forefront of both pure mathematics and applied science, our NATO ASI was especially pertinent at this time.
Author : Basil G. Mertzios,Panos Liatsis
Publisher : Elsevier
Page : 708 pages
File Size : 47,6 Mb
Release : 1996-11-08
Category : Technology & Engineering
ISBN : 0080539769
The papers in this volume focus on the most modern and critical aspects of Image and Signal Processing and related areas that have a significant impact in our society. The papers may be categorized in the following four major parts. Coding and Compression (image coding, image subband, wavelet coding and representation, video coding, motion estimation and multimedia); Image Processing and Pattern Recognition (image analysis, edge detection, segmentation, image enhancement and restoration, adaptive systems, colour processing, pattern and object recognition and classification); Fast Processing Techniques (computational methods, VLSI DSP architectures); Theory and Applications (identificiation and modelling, multirate filter banks, wavelets in image and signal processing, biomedical and industrial applications). The authors of these exceptionally high-quality papers form an interesting group, originating from the five continents, representing 33 countries.
Author : Maurice de Gosson
Publisher : Springer Science & Business Media
Page : 564 pages
File Size : 54,7 Mb
Release : 2013-11-11
Category : Mathematics
ISBN : 9789401720083
This volume contains papers presented at the first conference held to honor the memory of, arguably, the greatest mathematician of the twentieth century, Jean Leray. Contributors from all over the world have submitted their work to be included in this unique collection, and it reflects the esteem in which Jean Leray was, and still is held. The book is divided into five parts: hyperbolic systems and equations; symplectic mechanics and geometry; sheaves and spectral sequences; elliptic operators and index theory; and mathematical physics. This volume will appeal to all those who acknowledge the value of Jean Leray's work in general, and students and researchers interested in analysis, topology and geometry, mathematical physics, classical mechanics and fluid mechanics and dynamics in particular.