Invariant Potential Theory in the Unit Ball of Cn PDF Download
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Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 0521468302
Category : Mathematics
Languages : en
Pages : 187
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Book Description
This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.
Author: Manfred Stoll
Publisher: Cambridge University Press
ISBN: 0521468302
Category : Mathematics
Languages : en
Pages : 187
Get Book Here
Book Description
This monograph provides an introduction and a survey of recent results in potential theory with respect to the Laplace-Beltrami operator D in several complex variables, with special emphasis on the unit ball in Cn. Topics covered include Poisson-Szegö integrals on the ball, the Green's function for D and the Riesz decomposition theorem for invariant subharmonic functions. The extension to the ball of the classical Fatou theorem on non-tangible limits of Poisson integrals, and Littlewood's theorem on the existence of radial limits of subharmonic functions are covered in detail. The monograph also contains recent results on admissible and tangential boundary limits of Green potentials, and Lp inequalities for the invariant gradient of Green potentials. Applications of some of the results to Hp spaces, and weighted Bergman and Dirichlet spaces of invariant harmonic functions are included. The notes are self-contained, and should be accessible to anyone with some basic knowledge of several complex variables.
Author: Lionel Mason
Publisher: Cambridge University Press
ISBN: 9780521529990
Category : Mathematics
Languages : en
Pages : 170
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Book Description
Articles from leading researchers to introduce the reader to cutting-edge topics in integrable systems theory.
Author: P. G. Drazin
Publisher: Cambridge University Press
ISBN: 9780521681629
Category : Mathematics
Languages : en
Pages : 212
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Book Description
This 2006 book details exact solutions to the Navier-Stokes equations for senior undergraduates and graduates or research reference.
Author: Frank Olaf Wagner
Publisher: Cambridge University Press
ISBN: 9780521598392
Category : Mathematics
Languages : en
Pages : 326
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Book Description
In this book the general theory of stable groups is developed from the beginning.
Author: Ivan Cherednik
Publisher: Cambridge University Press
ISBN: 0521609186
Category : Mathematics
Languages : en
Pages : 449
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Book Description
This is an essentially self-contained monograph centered on the new double Hecke algebra technique.
Author: Ian F. Blake
Publisher: Cambridge University Press
ISBN: 9781139441223
Category : Mathematics
Languages : en
Pages : 308
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Book Description
Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.
Author: Mouez Dimassi
Publisher: Cambridge University Press
ISBN: 0521665442
Category : Mathematics
Languages : en
Pages : 243
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Book Description
This book presents the basic methods and applications in semiclassical approximation in the light of developments.
Author: C. M. Campbell
Publisher: Cambridge University Press
ISBN: 9781139437219
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This first volume of the two-volume book contains selected papers from the international conference 'Groups St Andrews 2001 in Oxford' which was held at the University of Oxford in August 2001. Five main lecture courses were given at the conference, and articles based on their lectures form a substantial part of the Proceedings. This volume contains the contributions from Marston Conder (Auckland), Persi Diaconis (Stanford) and Marcus Du Sautoy (Cambridge). The series of Proceedings of Groups St Andrews conferences have provided snapshots of the state of research in group theory throughout the past twenty years. As with earlier volumes, these refereed volumes also contain accessible surveys of contemporary research fronts, as well as a diverse collection of short research articles. They form a valuable reference for researchers, especially graduate students, working in group theory.
Author: Gabriel Navarro
Publisher: Cambridge University Press
ISBN: 0521595134
Category : Mathematics
Languages : en
Pages : 301
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Book Description
This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.
Author: Thomas Wolfgang Müller
Publisher: Cambridge University Press
ISBN: 9780521542876
Category : Mathematics
Languages : en
Pages : 608
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Book Description
Survey and research articles from the Bielefeld conference on topological, combinatorial and arithmetic aspects of groups.
