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Author: Richard Beals
Publisher: Princeton University Press
ISBN: 9780691085012
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.
Author: Richard Beals
Publisher: Princeton University Press
ISBN: 9780691085012
Category : Business & Economics
Languages : en
Pages : 212
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Book Description
The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.
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.
Author: Richard Beals
Publisher:
ISBN: 9780608064338
Category :
Languages : en
Pages : 204
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Book Description
Author: M. W. Wong
Publisher: Birkhäuser
ISBN: 3319475126
Category : Mathematics
Languages : en
Pages : 239
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Book Description
This volume consists of papers inspired by the special session on pseudo-differential operators at the 10th ISAAC Congress held at the University of Macau, August 3-8, 2015 and the mini-symposium on pseudo-differential operators in industries and technologies at the 8th ICIAM held at the National Convention Center in Beijing, August 10-14, 2015. The twelve papers included present cutting-edge trends in pseudo-differential operators and applications from the perspectives of Lie groups (Chapters 1-2), geometry (Chapters 3-5) and applications (Chapters 6-12). Many contributions cover applications in probability, differential equations and time-frequency analysis. A focus on the synergies of pseudo-differential operators with applications, especially real-life applications, enhances understanding of the analysis and the usefulness of these operators.
Author: Ovidiu Calin
Publisher: Cambridge University Press
ISBN: 0521897300
Category : Mathematics
Languages : en
Pages : 371
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Book Description
A comprehensive text and reference on sub-Riemannian and Heisenberg manifolds using a novel and robust variational approach.
Author: National Academy of Sciences (U.S.).
Publisher:
ISBN:
Category : Science
Languages : en
Pages : 1148
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Book Description
Author: Enrique Ramírez de Arellano
Publisher: American Mathematical Soc.
ISBN: 0821806777
Category : Mathematics
Languages : en
Pages : 312
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Book Description
This book presents a collection of papers on certain aspects of general operator theory related to classes of important operators: singular integral, Toeplitz and Bergman opertors, convolution operators on Lie groups, pseudodifferential operators, etc. The study of these operators arises from integral representations for different classes of functions, enriches pure opertor theory, and is influential and beneficial for important areas of analysis. Particular attention is paid to the fruitful interplay of recent developments of complex and hypercomplex analysis on one side and to operator theory on the other. The majority of papers illustrate this interplay as well as related applications. The papers represent the proceedings of the conference "Operator Theory and Complex and Hypercomplex Analysis", held in Decenber 1994 in Mexico City.
Author:
Publisher:
ISBN:
Category : Monographic series
Languages : en
Pages : 1404
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Book Description
Vols. for 1980- issued in three parts: Series, Authors, and Titles.
Author: Alexander Cardona
Publisher: Springer
ISBN: 3319654276
Category : Science
Languages : en
Pages : 341
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Book Description
This monograph presents various ongoing approaches to the vast topic of quantization, which is the process of forming a quantum mechanical system starting from a classical one, and discusses their numerous fruitful interactions with mathematics.The opening chapter introduces the various forms of quantization and their interactions with each other and with mathematics.A first approach to quantization, called deformation quantization, consists of viewing the Planck constant as a small parameter. This approach provides a deformation of the structure of the algebra of classical observables rather than a radical change in the nature of the observables. When symmetries come into play, deformation quantization needs to be merged with group actions, which is presented in chapter 2, by Simone Gutt.The noncommutativity arising from quantization is the main concern of noncommutative geometry. Allowing for the presence of symmetries requires working with principal fiber bundles in a non-commutative setup, where Hopf algebras appear naturally. This is the topic of chapter 3, by Christian Kassel. Nichols algebras, a special type of Hopf algebras, are the subject of chapter 4, by Nicolás Andruskiewitsch. The purely algebraic approaches given in the previous chapters do not take the geometry of space-time into account. For this purpose a special treatment using a more geometric point of view is required. An approach to field quantization on curved space-time, with applications to cosmology, is presented in chapter 5 in an account of the lectures of Abhay Ashtekar that brings a complementary point of view to non-commutativity.An alternative quantization procedure is known under the name of string theory. In chapter 6 its supersymmetric version is presented. Superstrings have drawn the attention of many mathematicians, due to its various fruitful interactions with algebraic geometry, some of which are described here. The remaining chapters discuss further topics, as the Batalin-Vilkovisky formalism and direct products of spectral triples.This volume addresses both physicists and mathematicians and serves as an introduction to ongoing research in very active areas of mathematics and physics at the border line between geometry, topology, algebra and quantum field theory.
Author: Brian Street
Publisher: Princeton University Press
ISBN: 0691162522
Category : Mathematics
Languages : en
Pages : 411
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Book Description
This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields.
