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Author : Michael Eugene Taylor
Publisher : American Mathematical Soc.
ISBN 13 : 0821823140
Total Pages : 188 pages
Book Rating : 4.8/5 (218 download)
Download or read book Noncommutative Microlocal Analysis written by Michael Eugene Taylor and published by American Mathematical Soc.. This book was released on 1984 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Rodino
Publisher : Springer Science & Business Media
ISBN 13 : 9401156263
Total Pages : 449 pages
Book Rating : 4.4/5 (11 download)
Download or read book Microlocal Analysis and Spectral Theory written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 449 pages. Available in PDF, EPUB and Kindle. Book excerpt: The NATO Advanced Study Institute "Microlocal Analysis and Spectral The ory" was held in Tuscany (Italy) at Castelvecchio Pascoli, in the district of Lucca, hosted by the international vacation center "11 Ciocco" , from September 23 to October 3, 1996. The Institute recorded the considerable progress realized recently in the field of Microlocal Analysis. In a broad sense, Microlocal Analysis is the modern version of the classical Fourier technique in solving partial differential equa tions, where now the localization proceeding takes place with respect to the dual variables too. Precisely, through the tools of pseudo-differential operators, wave-front sets and Fourier integral operators, the general theory of the lin ear partial differential equations is now reaching a mature form, in the frame of Schwartz distributions or other generalized functions. At the same time, Microlocal Analysis has grown up into a definite and independent part of Math ematical Analysis, with other applications all around Mathematics and Physics, one major theme being Spectral Theory for Schrodinger equation in Quantum Mechanics.
Author : Daniel Alpay
Publisher : Birkhäuser
ISBN 13 : 3319291165
Total Pages : 285 pages
Book Rating : 4.3/5 (192 download)
Download or read book Noncommutative Analysis, Operator Theory and Applications written by Daniel Alpay and published by Birkhäuser. This book was released on 2016-06-30 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates several aspects of the current research activity in operator theory, operator algebras and applications in various areas of mathematics and mathematical physics. It is addressed to specialists but also to graduate students in several fields including global analysis, Schur analysis, complex analysis, C*-algebras, noncommutative geometry, operator algebras, operator theory and their applications. Contributors: F. Arici, S. Bernstein, V. Bolotnikov, J. Bourgain, P. Cerejeiras, F. Cipriani, F. Colombo, F. D'Andrea, G. Dell'Antonio, M. Elin, U. Franz, D. Guido, T. Isola, A. Kula, L.E. Labuschagne, G. Landi, W.A. Majewski, I. Sabadini, J.-L. Sauvageot, D. Shoikhet, A. Skalski, H. de Snoo, D. C. Struppa, N. Vieira, D.V. Voiculescu, and H. Woracek.
Author : Gerald B. Folland
Publisher : Princeton University Press
ISBN 13 : 1400882427
Total Pages : 288 pages
Book Rating : 4.4/5 (8 download)
Download or read book Harmonic Analysis in Phase Space. (AM-122), Volume 122 written by Gerald B. Folland and published by Princeton University Press. This book was released on 2016-03-02 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first coherent account of the area of analysis that involves the Heisenberg group, quantization, the Weyl calculus, the metaplectic representation, wave packets, and related concepts. This circle of ideas comes principally from mathematical physics, partial differential equations, and Fourier analysis, and it illuminates all these subjects. The principal features of the book are as follows: a thorough treatment of the representations of the Heisenberg group, their associated integral transforms, and the metaplectic representation; an exposition of the Weyl calculus of pseudodifferential operators, with emphasis on ideas coming from harmonic analysis and physics; a discussion of wave packet transforms and their applications; and a new development of Howe's theory of the oscillator semigroup.
Author : Michael Ruzhansky
Publisher : Springer Science & Business Media
ISBN 13 : 3319025503
Total Pages : 416 pages
Book Rating : 4.3/5 (19 download)
Download or read book Fourier Analysis written by Michael Ruzhansky and published by Springer Science & Business Media. This book was released on 2014-01-18 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to the broad field of Fourier analysis and its applications to several areas of mathematics, including problems in the theory of pseudo-differential operators, partial differential equations, and time-frequency analysis. It is based on lectures given at the international conference “Fourier Analysis and Pseudo-Differential Operators,” June 25–30, 2012, at Aalto University, Finland. This collection of 20 refereed articles is based on selected talks and presents the latest advances in the field. The conference was a satellite meeting of the 6th European Congress of Mathematics, which took place in Krakow in July 2012; it was also the 6th meeting in the series “Fourier Analysis and Partial Differential Equations.”
Author : Yuri Kordyukov
Publisher : Springer Nature
ISBN 13 : 3031699262
Total Pages : 167 pages
Book Rating : 4.0/5 (316 download)
Download or read book Principal Symbol Calculus on Contact Manifolds written by Yuri Kordyukov and published by Springer Nature. This book was released on with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Min-Teh Cheng
Publisher : Springer
ISBN 13 : 3540464743
Total Pages : 240 pages
Book Rating : 4.5/5 (44 download)
Download or read book Harmonic Analysis written by Min-Teh Cheng and published by Springer. This book was released on 2006-11-14 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: All papers in this volume are original (fully refereed) research reports by participants of the special program on Harmonic Analysis held in the Nankai Institute of Mathematics. The main themes include: Wavelets, Singular Integral Operators, Extemal Functions, H Spaces, Harmonic Analysis on Local Domains and Lie Groups, and so on. See also :G. David "Wavelets and Singular Integrals on Curves and Surfaces", LNM 1465,1991. FROM THE CONTENTS: D.C. Chang: Nankai Lecture in -Neumann Problem.- T.P. Chen, D.Z. Zhang: Oscillary Integral with Polynomial Phase.- D.G. Deng, Y.S. Han: On a Generalized Paraproduct Defined by Non-Convolution.- Y.S. Han: H Boundedness of Calderon-Zygmund Operators for Product Domains.- Z.X. Liu, S.Z. Lu: Applications of H|rmander Multiplier Theorem to Approximation in Real Hardy Spaces.- R.L. Long, F.S. Nie: Weighted Sobolev Inequality and Eigenvalue Estimates of Schr|dinger Operator.- A. McIntosh, Q. Tao: Convolution Singular Integral Operators on Lipschitz Curves.- Z.Y. Wen, L.M.Wu, Y.P. Zhang: Set of Zeros of Harmonic Functions of Two Variables.- C.K. Yuan: On the Structures of Locally Compact Groups Admitting Inner Invariant Means.
Author : Yu.V. Egorov
Publisher : Springer Science & Business Media
ISBN 13 : 3662092077
Total Pages : 247 pages
Book Rating : 4.6/5 (62 download)
Download or read book Partial Differential Equations IV written by Yu.V. Egorov and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 247 pages. Available in PDF, EPUB and Kindle. Book excerpt: A two-part monograph covering recent research in an important field, previously scattered in numerous journals, including the latest results in the theory of mixed problems for hyperbolic operators. The book is hence of immense value to graduate students and researchers in partial differential equations and theoretical physics.
Author : M. Salah Baouendi
Publisher :
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.:/5 (44 download)
Download or read book Microlocal Analysis written by M. Salah Baouendi and published by . This book was released on 1984 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the proceedings of the AMS-IMS-SIAM Joint Summer Research Conference on Microlocal Analysis and its Applications to Partial Differential Equations, held July 10-16, 1983 in Boulder, Colorado. It contains refereed articles which were delivered at the conference. Two of the papers are survey articles, one on uniqueness and non-uniqueness in the Cauchy problem and one on hypoanalytic structures; the rest are either detailed announcements or complete papers covering such areas as spectrum of operators, nonlinear problems, asymptotics, pseudodifferential operators of multiple characteristics and operators on groups and homogeneous spaces. The volume should be useful to active mathematicians and graduate students working on linear and nonlinear partial differential equations and related areas.
Author : Luigi Rodino
Publisher : American Mathematical Soc.
ISBN 13 : 0821842765
Total Pages : 426 pages
Book Rating : 4.8/5 (218 download)
Download or read book Pseudo-Differential Operators: Partial Differential Equations and Time-Frequency Analysis written by Luigi Rodino and published by American Mathematical Soc.. This book was released on 2007 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is based on lectures given at the workshop on pseudo-differential operators held at the Fields Institute from December 11, 2006 to December 15, 2006. The two main themes of the workshop and hence this volume are partial differential equations and time-frequency analysis. The contents of this volume consist of five mini-courses for graduate students and post-docs, and fifteen papers on related topics. Of particular interest in this volume are the mathematical underpinnings, applications and ramifications of the relatively new Stockwell transform, which is a hybrid of the Gabor transform and the wavelet transform. The twenty papers in this volume reflect modern trends in the development of pseudo-differential operators.
Author : Julio Delgado
Publisher : Springer
ISBN 13 : 3030056570
Total Pages : 280 pages
Book Rating : 4.0/5 (3 download)
Download or read book Analysis and Partial Differential Equations: Perspectives from Developing Countries written by Julio Delgado and published by Springer. This book was released on 2019-01-27 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents current trends in analysis and partial differential equations from researchers in developing countries. The fruit of the project 'Analysis in Developing Countries', whose aim was to bring together researchers from around the world, the volume also includes some contributions from researchers from developed countries. Focusing on topics in analysis related to partial differential equations, this volume contains selected contributions from the activities of the project at Imperial College London, namely the conference on Analysis and Partial Differential Equations held in September 2016 and the subsequent Official Development Assistance Week held in November 2016. Topics represented include Fourier analysis, pseudo-differential operators, integral equations, as well as related topics from numerical analysis and bifurcation theory, and the countries represented range from Burkina Faso and Ghana to Armenia, Kyrgyzstan and Tajikistan, including contributions from Brazil, Colombia and Cuba, as well as India and China. Suitable for postgraduate students and beyond, this volume offers the reader a broader, global perspective of contemporary research in analysis.
Author : Huishi Li
Publisher : Springer
ISBN 13 : 3540457658
Total Pages : 205 pages
Book Rating : 4.5/5 (44 download)
Download or read book Noncommutative Gröbner Bases and Filtered-Graded Transfer written by Huishi Li and published by Springer. This book was released on 2004-10-19 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained monograph is the first to feature the intersection of the structure theory of noncommutative associative algebras and the algorithmic aspect of Groebner basis theory. A double filtered-graded transfer of data in using noncommutative Groebner bases leads to effective exploitation of the solutions to several structural-computational problems, e.g., an algorithmic recognition of quadric solvable polynomial algebras, computation of GK-dimension and multiplicity for modules, and elimination of variables in noncommutative setting. All topics included deal with algebras of (q-)differential operators as well as some other operator algebras, enveloping algebras of Lie algebras, typical quantum algebras, and many of their deformations.
Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 366206796X
Total Pages : 346 pages
Book Rating : 4.6/5 (62 download)
Download or read book Dynamical Systems VII written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-12-14 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: A collection of five surveys on dynamical systems, indispensable for graduate students and researchers in mathematics and theoretical physics. Written in the modern language of differential geometry, the book covers all the new differential geometric and Lie-algebraic methods currently used in the theory of integrable systems.
Author : Alan L. Carey
Publisher : American Mathematical Soc.
ISBN 13 : 0821851993
Total Pages : 361 pages
Book Rating : 4.8/5 (218 download)
Download or read book Motives, Quantum Field Theory, and Pseudodifferential Operators written by Alan L. Carey and published by American Mathematical Soc.. This book was released on 2010 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains articles related to the conference ``Motives, Quantum Field Theory, and Pseudodifferntial Operators'' held at Boston University in June 2008, with partial support from the Clay Mathematics Institute, Boston University, and the National Science Foundation. There are deep but only partially understood connections between the three conference fields, so this book is intended both to explain the known connections and to offer directions for further research. In keeping with the organization of the conference, this book contains introductory lectures on each of the conference themes and research articles on current topics in these fields. The introductory lectures are suitable for graduate students and new Ph.D.'s in both mathematics and theoretical physics, as well as for senior researchers, since few mathematicians are expert in any two of the conference areas. Among the topics discussed in the introductory lectures are the appearance of multiple zeta values both as periods of motives and in Feynman integral calculations in perturbative QFT, the use of Hopf algebra techniques for renormalization in QFT, and regularized traces of pseudodifferential operators. The motivic interpretation of multiple zeta values points to a fundamental link between motives and QFT, and there are strong parallels between regularized traces and Feynman integral techniques. The research articles cover a range of topics in areas related to the conference themes, including geometric, Hopf algebraic, analytic, motivic and computational aspects of quantum field theory and mirror symmetry. There is no unifying theory of the conference areas at present, so the research articles present the current state of the art pointing towards such a unification.
Author : Michael Taylor
Publisher : Springer Science & Business Media
ISBN 13 : 1475741871
Total Pages : 547 pages
Book Rating : 4.4/5 (757 download)
Download or read book Partial Differential Equations II written by Michael Taylor and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 547 pages. Available in PDF, EPUB and Kindle. Book excerpt: This second in the series of three volumes builds upon the basic theory of linear PDE given in volume 1, and pursues more advanced topics. Analytical tools introduced here include pseudodifferential operators, the functional analysis of self-adjoint operators, and Wiener measure. The book also develops basic differential geometrical concepts, centred about curvature. Topics covered include spectral theory of elliptic differential operators, the theory of scattering of waves by obstacles, index theory for Dirac operators, and Brownian motion and diffusion.
Author : Naoya Miyazaki
Publisher : World Scientific
ISBN 13 : 9814479411
Total Pages : 390 pages
Book Rating : 4.8/5 (144 download)
Download or read book Noncommutative Geometry And Physics - Proceedings Of The Coe International Workshop written by Naoya Miyazaki and published by World Scientific. This book was released on 2005-09-23 with total page 390 pages. Available in PDF, EPUB and Kindle. Book excerpt: Noncommutative differential geometry is a novel approach to geometry that is paving the way for exciting new directions in the development of mathematics and physics. The contributions in this volume are based on papers presented at a workshop dedicated to enhancing international cooperation between mathematicians and physicists in various aspects of frontier research on noncommutative differential geometry. The active contributors present both the latest results and comprehensive reviews of topics in the area. The book is accessible to researchers and graduate students interested in a variety of mathematical areas related to noncommutative geometry and its interface with modern theoretical physics.
Author : Gerald W Johnson
Publisher : OUP Oxford
ISBN 13 : 0191006882
Total Pages : 439 pages
Book Rating : 4.1/5 (91 download)
Download or read book Feynman's Operational Calculus and Beyond written by Gerald W Johnson and published by OUP Oxford. This book was released on 2015-08-06 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is aimed at providing a coherent, essentially self-contained, rigorous and comprehensive abstract theory of Feynman's operational calculus for noncommuting operators. Although it is inspired by Feynman's original heuristic suggestions and time-ordering rules in his seminal 1951 paper An operator calculus having applications in quantum electrodynamics, as will be made abundantly clear in the introduction (Chapter 1) and elsewhere in the text, the theory developed in this book also goes well beyond them in a number of directions which were not anticipated in Feynman's work. Hence, the second part of the main title of this book. The basic properties of the operational calculus are developed and certain algebraic and analytic properties of the operational calculus are explored. Also, the operational calculus will be seen to possess some pleasant stability properties. Furthermore, an evolution equation and a generalized integral equation obeyed by the operational calculus are discussed and connections with certain analytic Feynman integrals are noted. This volume is essentially self-contained and we only assume that the reader has a reasonable, graduate level, background in analysis, measure theory and functional analysis or operator theory. Much of the necessary remaining background is supplied in the text itself.
