Kernel Functions Analytic Torsion And Moduli Spaces

DOWNLOAD

Download Kernel Functions Analytic Torsion And Moduli Spaces PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Kernel Functions Analytic Torsion And Moduli Spaces book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page

Kernel Functions Analytic Torsion And Moduli Spaces

DOWNLOAD
Author : John David Fay
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Kernel Functions Analytic Torsion And Moduli Spaces written by John David Fay and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

This memoir is a study of Ray-Singer analytic torsion for hermitian vector bundles on a compact Riemann surface [italic]C. The torsion is expressed through the trace of a modified resolvent. Thus, one can develop perturbation-curvature formulae for the Green-Szegö kernel and also for the torsion in terms of the Ahlfors-Bers complex structure of the Teichmuller space and Mumford complex structure of the moduli space of stable bundles of degree zero on [italic]C.

Integral Transforms Reproducing Kernels And Their Applications

DOWNLOAD
Author : Saburou Saitoh
language : en
Publisher: CRC Press
Release Date : 2020-11-25

Integral Transforms Reproducing Kernels And Their Applications written by Saburou Saitoh and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-25 with Mathematics categories.

The general theories contained in the text will give rise to new ideas and methods for the natural inversion formulas for general linear mappings in the framework of Hilbert spaces containing the natural solutions for Fredholm integral equations of the first kind.

The Ubiquitous Heat Kernel

DOWNLOAD
Author : Jay Jorgenson
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

The Ubiquitous Heat Kernel written by Jay Jorgenson and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.

The aim of this volume is to bring together research ideas from various fields of mathematics which utilize the heat kernel or heat kernel techniques in their research. The intention of this collection of papers is to broaden productive communication across mathematical sub-disciplines and to provide a vehicle which would allow experts in one field to initiate research with individuals in another field, as well as to give non-experts a resource which can facilitate expanding theirresearch and connecting with others.

Advances In Functional Analysis And Operator Theory

DOWNLOAD
Author : Marat V. Markin
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-09

Advances In Functional Analysis And Operator Theory written by Marat V. Markin and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-09 with Mathematics categories.

This volume contains the proceedings of the AMS-EMS-SMF Special Session on Advances in Functional Analysis and Operator Theory, held July 18–22, 2022, at the Université de Grenoble-Alpes, Grenoble, France. The papers reflect the modern interplay between differential equations, functional analysis, operator algebras, and their applications from the dynamics to quantum groups to number theory. Among the topics discussed are the Sturm-Liouville and boundary value problems, axioms of quantum mechanics, $C^{*}$-algebras and symbolic dynamics, von Neumann algebras and low-dimensional topology, quantum permutation groups, the Jordan algebras, and the Kadison–Singer transforms.

Computational Approach To Riemann Surfaces

DOWNLOAD
Author : Alexander I. Bobenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-02-12

Computational Approach To Riemann Surfaces written by Alexander I. Bobenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-02-12 with Mathematics categories.

This volume offers a well-structured overview of existent computational approaches to Riemann surfaces and those currently in development. The authors of the contributions represent the groups providing publically available numerical codes in this field. Thus this volume illustrates which software tools are available and how they can be used in practice. In addition examples for solutions to partial differential equations and in surface theory are presented. The intended audience of this book is twofold. It can be used as a textbook for a graduate course in numerics of Riemann surfaces, in which case the standard undergraduate background, i.e., calculus and linear algebra, is required. In particular, no knowledge of the theory of Riemann surfaces is expected; the necessary background in this theory is contained in the Introduction chapter. At the same time, this book is also intended for specialists in geometry and mathematical physics applying the theory of Riemann surfaces in their research. It is the first book on numerics of Riemann surfaces that reflects the progress made in this field during the last decade, and it contains original results. There are a growing number of applications that involve the evaluation of concrete characteristics of models analytically described in terms of Riemann surfaces. Many problem settings and computations in this volume are motivated by such concrete applications in geometry and mathematical physics.

Resolvent Heat Kernel And Torsion Under Degeneration To Fibered Cusps

DOWNLOAD
Author : Pierre Albin
language : en
Publisher: American Mathematical Soc.
Release Date : 2021-06-21

Resolvent Heat Kernel And Torsion Under Degeneration To Fibered Cusps written by Pierre Albin and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-21 with Education categories.

Manifolds with fibered cusps are a class of complete non-compact Riemannian manifolds including many examples of locally symmetric spaces of rank one. We study the spectrum of the Hodge Laplacian with coefficients in a flat bundle on a closed manifold undergoing degeneration to a manifold with fibered cusps. We obtain precise asymptotics for the resolvent, the heat kernel, and the determinant of the Laplacian. Using these asymptotics we obtain a topological description of the analytic torsion on a manifold with fibered cusps in terms of the R-torsion of the underlying manifold with boundary.

Mathematics Unlimited 2001 And Beyond

DOWNLOAD
Author : Björn Engquist
language : en
Publisher: Springer
Release Date : 2017-04-05

Mathematics Unlimited 2001 And Beyond written by Björn Engquist and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-05 with Mathematics categories.

This is a book guaranteed to delight the reader. It not only depicts the state of mathematics at the end of the century, but is also full of remarkable insights into its future de- velopment as we enter a new millennium. True to its title, the book extends beyond the spectrum of mathematics to in- clude contributions from other related sciences. You will enjoy reading the many stimulating contributions and gain insights into the astounding progress of mathematics and the perspectives for its future. One of the editors, Björn Eng- quist, is a world-renowned researcher in computational sci- ence and engineering. The second editor, Wilfried Schmid, is a distinguished mathematician at Harvard University. Likewi- se the authors are all foremost mathematicians and scien- tists, and their biographies and photographs appear at the end of the book. Unique in both form and content, this is a "must-read" for every mathematician and scientist and, in particular, for graduates still choosing their specialty.

Factorization And Integrable Systems

DOWNLOAD
Author : Israel Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Factorization And Integrable Systems written by Israel Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.

In September 2000 a Summer School on "Factorization and Integrable Systems" was held at the University of Algarve in Portugal. The main aim of the school was to review the modern factorization theory and its application to classical and quantum integrable systems. The program consisted of a number of short courses given by leading experts in the field. The lecture notes of the courses have been specially prepared for publication in this volume. The book consists of four contributions. I. Gohberg, M.A. Kaashoek and I.M. Spitkovsky present an extensive review of the factorization theory of matrix functions relative to a curve, with emphasis on the developments of the last 20-25 years. The group-theoretical approach to classical integrable systems is reviewed by M.A. Semenov-Tian-Shansky. P.P. Kulish surveyed the quantum inverse scattering method using the isotropic Heisenberg spin chain as the main example.

Theory And Applications Of Holomorphic Functions On Algebraic Varieties Over Arbitrary Ground Fields

DOWNLOAD
Author : Oscar Zariski
language : en
Publisher: American Mathematical Soc.
Release Date : 1951

Theory And Applications Of Holomorphic Functions On Algebraic Varieties Over Arbitrary Ground Fields written by Oscar Zariski and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1951 with Algebraic functions categories.

A Generalization Of Riemann Mappings And Geometric Structures On A Space Of Domains In C N

DOWNLOAD
Author : Stephen Semmes
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

A Generalization Of Riemann Mappings And Geometric Structures On A Space Of Domains In C N written by Stephen Semmes and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

Similar in philosophy to the study of moduli spaces in algebraic geometry, the central theme of this book is that spaces of (pseudoconvex) domains should admit geometrical structures that reflect the complex geometry of the underlying domains in a natural way. With its unusual geometric perspective of some topics in several complex variables, this book appeals to those who view much of mathematics in broadly geometrical terms.