Calculus On Heisenberg Manifolds

Author : Richard Beals
Publisher : Princeton University Press
ISBN 13 : 9780691085012
Total Pages : 212 pages
Book Rating : 4.13/5 ( download)

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Download or read book Calculus on Heisenberg Manifolds written by Richard Beals and published by Princeton University Press. This book was released on 1988-08-21 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.

Author : Richard Beals
Publisher : Princeton University Press
ISBN 13 : 1400882397
Total Pages : 208 pages
Book Rating : 4.97/5 ( download)

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Download or read book Calculus on Heisenberg Manifolds. (AM-119), Volume 119 written by Richard Beals and published by Princeton University Press. This book was released on 2016-03-02 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: The description for this book, Calculus on Heisenberg Manifolds. (AM-119), Volume 119, will be forthcoming.

Author : Richard Beals
Publisher :
ISBN 13 : 9780608064338
Total Pages : 204 pages
Book Rating : 4.35/5 ( download)

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Download or read book Calculus on Heisenberg Manifolds written by Richard Beals and published by . This book was released on with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Raphael Ponge
Publisher : American Mathematical Soc.
ISBN 13 : 0821841483
Total Pages : 150 pages
Book Rating : 4.88/5 ( download)

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Download or read book Heisenberg Calculus and Spectral Theory of Hypoelliptic Operators on Heisenberg Manifolds written by Raphael Ponge and published by American Mathematical Soc.. This book was released on 2008 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: This memoir deals with the hypoelliptic calculus on Heisenberg manifolds, including CR and contact manifolds. In this context the main differential operators at stake include the Hormander's sum of squares, the Kohn Laplacian, the horizontal sublaplacian, the CR conformal operators of Gover-Graham and the contact Laplacian. These operators cannot be elliptic and the relevant pseudodifferential calculus to study them is provided by the Heisenberg calculus of Beals-Greiner andTaylor.

Author : Ovidiu Calin
Publisher : American Mathematical Soc.
ISBN 13 : 0821846884
Total Pages : 258 pages
Book Rating : 4.89/5 ( download)

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Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by Ovidiu Calin and published by American Mathematical Soc.. This book was released on 2008-06-30 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Daryl Geller
Publisher : Princeton University Press
ISBN 13 : 1400860733
Total Pages : 504 pages
Book Rating : 4.39/5 ( download)

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Download or read book Analytic Pseudodifferential Operators for the Heisenberg Group and Local Solvability. (MN-37) written by Daryl Geller and published by Princeton University Press. This book was released on 2014-07-14 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many of the operators one meets in several complex variables, such as the famous Lewy operator, are not locally solvable. Nevertheless, such an operator L can be thoroughly studied if one can find a suitable relative parametrix--an operator K such that LK is essentially the orthogonal projection onto the range of L. The analysis is by far most decisive if one is able to work in the real analytic, as opposed to the smooth, setting. With this motivation, the author develops an analytic calculus for the Heisenberg group. Features include: simple, explicit formulae for products and adjoints; simple representation-theoretic conditions, analogous to ellipticity, for finding parametrices in the calculus; invariance under analytic contact transformations; regularity with respect to non-isotropic Sobolev and Lipschitz spaces; and preservation of local analyticity. The calculus is suitable for doing analysis on real analytic strictly pseudoconvex CR manifolds. In this context, the main new application is a proof that the Szego projection preserves local analyticity, even in the three-dimensional setting. Relative analytic parametrices are also constructed for the adjoint of the tangential Cauchy-Riemann operator. Originally published in 1990. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Author : Ovidiu Calin
Publisher :
ISBN 13 : 9781470438296
Total Pages : 244 pages
Book Rating : 4.91/5 ( download)

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Download or read book Geometric Analysis on the Heisenberg Group and Its Generalizations written by Ovidiu Calin and published by . This book was released on 2007 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: The theory of subRiemannian manifolds is closely related to Hamiltonian mechanics. In this book, the authors examine the properties and applications of subRiemannian manifolds that automatically satisfy the Heisenberg principle, which may be useful in quantum mechanics. In particular, the behavior of geodesics in this setting plays an important role in finding heat kernels and propagators for Schrödinger's equation. One of the novelties of this book is the introduction of techniques from complex Hamiltonian mechanics.

Author : Nils Tongring
Publisher : World Scientific
ISBN 13 : 9812560211
Total Pages : 362 pages
Book Rating : 4.16/5 ( download)

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Download or read book Woods Hole Mathematics written by Nils Tongring and published by World Scientific. This book was released on 2004 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: The central theme of this volume is the contemporary mathematics of geometry and physics, but the work also discusses the problem of the secondary structure of proteins, and an overview of arc complexes with proposed applications to macromolecular folding is given.?Woods Hole has played such a vital role in both my mathematical and personal life that it is a great pleasure to see the mathematical tradition of the 1964 meeting resurrected forty years later and, as this volume shows, resurrected with new vigor and hopefully on a regular basis. I therefore consider it a signal honor to have been asked to introduce this volume with a few reminiscences of that meeting forty years ago.? Introduction by R Bott (Wolf Prize Winner, 2000).

Author : Alan L. Carey
Publisher : American Mathematical Soc.
ISBN 13 : 0821851993
Total Pages : 361 pages
Book Rating : 4.99/5 ( download)

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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 : Peter D. Lax
Publisher : American Mathematical Soc.
ISBN 13 : 0821806106
Total Pages : 233 pages
Book Rating : 4.04/5 ( download)

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Download or read book Differential Equations: La Pietra 1996 written by Peter D. Lax and published by American Mathematical Soc.. This book was released on 1999 with total page 233 pages. Available in PDF, EPUB and Kindle. Book excerpt: The 11 papers discuss analysis, partial differential equations, applied mathematics, and scientific computing, focusing on the work of Peter Lax and Louis Nirenberg, whose 70th birthdays occasioned the conference. Specific topics include viscosity solutions for the porous medium equation, holomorphic curves in contact dynamics, and minimizing volume among Lagrangian submanifolds. No index. Member prices are $31 for institutions and $23 or individuals. Annotation copyrighted by Book News, Inc., Portland, OR.