Noncommutative Microlocal Analysis

Noncommutative Microlocal Analysis PDF Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821823140
Category : Differential equations, Hypoelliptic
Languages : en
Pages : 188

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Noncommutative Microlocal Analysis

Noncommutative Microlocal Analysis PDF Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821823140
Category : Differential equations, Hypoelliptic
Languages : en
Pages : 188

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Book Description


Noncommutative Microlocal Analysis, Part 1

Noncommutative Microlocal Analysis, Part 1 PDF Author: Michael E. Taylor
Publisher:
ISBN:
Category : Differential equations, Hypoelliptic
Languages : en
Pages : 182

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Partial Differential and Integral Equations

Partial Differential and Integral Equations PDF Author: Heinrich Begehr
Publisher: Springer Science & Business Media
ISBN: 1461332761
Category : Mathematics
Languages : en
Pages : 367

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Book Description
This volume of the Proceedings of the congress ISAAC '97 collects the con tributions of the four sections 1. Function theoretic and functional analytic methods for pde, 2. Applications of function theory of several complex variables to pde, 3. Integral equations and boundary value problems, 4. Partial differential equations. Most but not all of the authors have participated in the congress. Unfortunately some from Eastern Europe and Asia have not managed to come because of lack of financial support. Nevertheless their manuscripts of the proposed talks are included in this volume. The majority of the papers deal with complex methods. Among them boundary value problems in particular the Riemann-Hilbert, the Riemann (Hilbert) and related problems are treated. Boundary behaviour of vector-valued functions are studied too. The Riemann-Hilbert problem is solved for elliptic complex equations, for mixed complex equations, and for several complex variables. It is considered in a general topological setting for mappings into q;n and related to Toeplitz operators. Convolution operators are investigated for nilpotent Lie groups leading to some consequences for the null space of the tangential Cauchy Riemann operator. Some boundary value problems for overdetermined systems in balls of q;n are solved explicitly. A survey is given for the Gauss-Manin connection associated with deformations of curve singularities. Several papers deal with generalizations of analytic functions with various applications to mathematical physics. Singular integrals in quaternionic anal ysis are studied which are applied to the time-harmonic Maxwell equations.

Noncommutative Harmonic Analysis

Noncommutative Harmonic Analysis PDF Author: Michael Eugene Taylor
Publisher: American Mathematical Soc.
ISBN: 0821815237
Category : Mathematics
Languages : en
Pages : 346

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Book Description
Explores some basic roles of Lie groups in linear analysis, with particular emphasis on the generalizations of the Fourier transform and the study of partial differential equations.

Calculus on Heisenberg Manifolds. (AM-119), Volume 119

Calculus on Heisenberg Manifolds. (AM-119), Volume 119 PDF Author: Richard Beals
Publisher: Princeton University Press
ISBN: 1400882397
Category : Mathematics
Languages : en
Pages : 208

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Book Description
The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.

Harmonic Analysis

Harmonic Analysis PDF Author: Min-Teh Cheng
Publisher: Springer
ISBN: 3540464743
Category : Mathematics
Languages : en
Pages : 240

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Book Description
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.

Pseudo-differential Operators

Pseudo-differential Operators PDF Author: Luigi Rodino
Publisher: American Mathematical Soc.
ISBN: 9780821871553
Category : Mathematics
Languages : en
Pages : 432

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Book Description
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.

Several Complex Variables and Complex Geometry, Part III

Several Complex Variables and Complex Geometry, Part III PDF Author: Eric Bedford
Publisher: American Mathematical Soc.
ISBN: 0821814915
Category : Mathematics
Languages : en
Pages : 386

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Microlocal Analysis

Microlocal Analysis PDF Author: M. Salah Baouendi
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 264

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Book Description
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.

Microlocal Methods in Mathematical Physics and Global Analysis

Microlocal Methods in Mathematical Physics and Global Analysis PDF Author: Daniel Grieser
Publisher: Springer Science & Business Media
ISBN: 3034804660
Category : Mathematics
Languages : en
Pages : 148

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Book Description
Microlocal analysis is a field of mathematics that was invented in the mid-20th century for the detailed investigation of problems from partial differential equations, which incorporated and made rigorous many ideas that originated in physics. Since then it has grown to a powerful machine which is used in global analysis, spectral theory, mathematical physics and other fields, and its further development is a lively area of current mathematical research. In this book extended abstracts of the conference 'Microlocal Methods in Mathematical Physics and Global Analysis', which was held at the University of Tübingen from the 14th to the 18th of June 2011, are collected.​