Author : Michael E. Taylor
Publisher : Amer Mathematical Society
Page : 182 pages
File Size : 31,78 MB
Release : 1984
Category : Mathematics
ISBN : 9780821823149
The main goal of this monograph is to develop a theory of pseudodifferential operators adaptable to problems in noncommutative harmonic analysis. The author's point of view is to try to make the analogy with the case of pseudodifferential operators on [double-struck capital]R[superscript italic]n as close as possible by exploiting the group Fourier transform and associated symbol calculus.
Author : Michael E. Taylor
Publisher : Amer Mathematical Society
Page : 182 pages
File Size : 16,84 MB
Release : 2005-10-06
Category : Mathematics
ISBN : 9780821839577
Author : Michael Eugene Taylor
Publisher : American Mathematical Soc.
Page : 188 pages
File Size : 41,13 MB
Release : 1984
Category : Differential equations, Hypoelliptic
ISBN : 0821823140
Author :
Publisher :
Page : 182 pages
File Size : 29,89 MB
Release : 1984
Category : Differential equations, Hypoelliptic
ISBN :
Author : Michael E. Taylor
Publisher :
Page : 0 pages
File Size : 43,35 MB
Release : 1984
Category :
ISBN : 9780821823149
Author : Luigi Rodino
Publisher : Springer Science & Business Media
Page : 449 pages
File Size : 19,65 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 9401156263
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 : H.G. Garnir
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 18,93 MB
Release : 1986-02-28
Category : Mathematics
ISBN : 9789027721952
The 1985 Castel vecchio-Pas coli NATO Advanced Study Institute is aimed to complete the trilogy with the two former institutes I organized : "Boundary Value Problem for Evolution Partial Differential Operators", Liege, 1976 and "Singularities in Boundary Value Problems", Maratea, 1980. It was indeed necessary to record the considerable progress realized in the field of the propagation of singularities of Schwartz Distri butions which led recently to the birth of a new branch of Mathema tical Analysis called Microlocal Analysis. Most of this theory was mainly built to be applied to distribution solutions of linear partial differential problems. A large part of this institute still went in this direction. But, on the other hand, it was also time to explore the new trend to use microlocal analysis In non linear differential problems. I hope that the Castelvecchio NATO ASI reached its purposes with the help of the more famous authorities in the field. The meeting was held in Tuscany (Italy) at Castelvecchio-Pascoli, little village in the mountains north of Lucca on September 2-12, 1985. It was hosted by "11 Ciocco" an international vacation Center, In a comfortable hotel located in magnificent mountain surroundings and provided with all conference and sport facilities.
Author : Daniel Alpay
Publisher : Birkhäuser
Page : 285 pages
File Size : 24,86 MB
Release : 2016-06-30
Category : Mathematics
ISBN : 3319291165
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
Page : 288 pages
File Size : 11,17 MB
Release : 2016-03-02
Category : Mathematics
ISBN : 1400882427
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
Page : 416 pages
File Size : 46,47 MB
Release : 2014-01-18
Category : Mathematics
ISBN : 3319025503
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.”
