Book Description
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Author : Manfred Stoll
Publisher : Cambridge University Press
Page : 243 pages
File Size : 45,39 MB
Release : 2016-06-30
Category : Mathematics
ISBN : 1107541484
A detailed treatment of potential theory on the real hyperbolic ball and half-space aimed at researchers and graduate students.
Author : Jack Noah
Publisher : Createspace Independent Publishing Platform
Page : 230 pages
File Size : 37,3 MB
Release : 2017-06-07
Category :
ISBN : 9781548085032
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects
Author : Manfred Stoll
Publisher : Cambridge University Press
Page : 243 pages
File Size : 46,12 MB
Release : 2016-06-30
Category : Mathematics
ISBN : 131666676X
This comprehensive monograph is ideal for established researchers in the field and also graduate students who wish to learn more about the subject. The text is made accessible to a broad audience as it does not require any knowledge of Lie groups and only a limited knowledge of differential geometry. The author's primary emphasis is on potential theory on the hyperbolic ball, but many other relevant results for the hyperbolic upper half-space are included both in the text and in the end-of-chapter exercises. These exercises expand on the topics covered in the chapter and involve routine computations and inequalities not included in the text. The book also includes some open problems, which may be a source for potential research projects.
Author : Sheldon Axler
Publisher : Springer Science & Business Media
Page : 266 pages
File Size : 16,27 MB
Release : 2013-11-11
Category : Mathematics
ISBN : 1475781377
This book is about harmonic functions in Euclidean space. This new edition contains a completely rewritten chapter on spherical harmonics, a new section on extensions of Bochers Theorem, new exercises and proofs, as well as revisions throughout to improve the text. A unique software package supplements the text for readers who wish to explore harmonic function theory on a computer.
Author : Thomas Haines
Publisher : Cambridge University Press
Page : 341 pages
File Size : 31,97 MB
Release : 2020-02-20
Category : Mathematics
ISBN : 1108704867
This volume forms the sequel to "On the stabilization of the trace formula", published by International Press of Boston, Inc., 2011
Author : Mark Pankov
Publisher : Cambridge University Press
Page : 154 pages
File Size : 23,84 MB
Release : 2020-01-16
Category : Mathematics
ISBN : 1108790917
An accessible introduction to the geometric approach to Wigner's theorem and its role in quantum mechanics.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 537 pages
File Size : 43,55 MB
Release : 2020-04-02
Category : Mathematics
ISBN : 1108805337
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive second volume highlights the connections between her main fields of research, namely algebraic geometry and integrable systems. Written by leaders in the field, the text is accessible to graduate students and non-experts, as well as researchers.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 537 pages
File Size : 27,96 MB
Release : 2020-03-02
Category : Mathematics
ISBN : 110871577X
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
Author : Kai Liu
Publisher : Cambridge University Press
Page : 277 pages
File Size : 17,13 MB
Release : 2019-05-02
Category : Mathematics
ISBN : 1108626491
The stability of stochastic differential equations in abstract, mainly Hilbert, spaces receives a unified treatment in this self-contained book. It covers basic theory as well as computational techniques for handling the stochastic stability of systems from mathematical, physical and biological problems. Its core material is divided into three parts devoted respectively to the stochastic stability of linear systems, non-linear systems, and time-delay systems. The focus is on stability of stochastic dynamical processes affected by white noise, which are described by partial differential equations such as the Navier–Stokes equations. A range of mathematicians and scientists, including those involved in numerical computation, will find this book useful. It is also ideal for engineers working on stochastic systems and their control, and researchers in mathematical physics or biology.
Author : Ron Donagi
Publisher : Cambridge University Press
Page : 421 pages
File Size : 47,29 MB
Release : 2020-04-02
Category : Mathematics
ISBN : 110880358X
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.