Tous les ebooks de la collection "Progress in Mathematics" - Birkhäuser

Representation Theory and Automorphic Forms

Toshiyuki Kobayashi , Wilfried Schmid , Jae-Hyun Yang

This volume uses a unified approach to representation theory and automorphic forms. It collects papers, written by leading mathematicians, that track recent progress in the expanding fields of representation theory and automorphic forms and their association with number...

Spectral Theory of Infinite-Area Hyperbolic Surfaces

David Borthwick

This book is a self-contained monograph on spectral theory for non-compact Riemann surfaces, focused on the infinite-volume case. By focusing on the scattering theory of hyperbolic surfaces, this work provides a compelling introductory example which will be accessible...

An Introduction to the Heisenberg Group and the Sub-Riemannian Isoperimetric Problem

Luca Capogna , Donatella Danielli , Scott D. Pauls , Jeremy Tyson

This book gives an up-to-date account of progress on Pansu's celebrated problem on the sub-Riemannian isoperimetric profile of the Heisenberg group. It also serves as an introduction to the general field of sub-Riemannian geometric analysis. It develops the methods and...

Polynomial Convexity

Edgar Lee Stout

This book is devoted to an exposition of the theory of polynomially convex sets.Acompact N subset of C is polynomially convex if it is de?ned by a family, ?nite or in?nite, of polynomial inequalities. These sets play an important role in the theory of functions of...

Complex, Contact and Symmetric Manifolds

Oldrich Kowalski , Emilio E. Musso , Domenico Perrone

* Contains research and survey articles by well known and respected mathematicians on recent developments and research trends in differential geometry and topology * Dedicated in honor of Lieven Vanhecke, as a tribute to his many fruitful and inspiring...

The Breadth of Symplectic and Poisson Geometry

Jerrold E. Marsden , Tudor S. Ratiu

One of the world’s foremost geometers, Alan Weinstein has made deep contributions to symplectic and differential geometry, Lie theory, mechanics, and related fields. Written in his honor, the invited papers in this volume reflect the active and vibrant research in these...

Arithmetic and Geometry Around Hypergeometric Functions

Rolf-Peter Holzapfel , Muhammed Uludag , M. Yoshida

This volume comprises lecture notes, survey and research articles originating from the CIMPA Summer School Arithmetic and Geometry around Hypergeometric Functions held at Galatasaray University, Istanbul, June 13-25, 2005. It covers a wide range of topics related to...

Differential Geometry and Analysis on CR Manifolds

Sorin Dragomir , Giuseppe Tomassini

Presents many major differential geometric acheivements in the theory of CR manifolds for the first time in book form Explains how certain results from analysis are employed in CR geometry Many examples and explicitly worked-out proofs of main geometric results in the...

The Unity of Mathematics

Pavel Etingof , Vladimir S. Retakh , I. M. Singer

A tribute to the vision and legacy of Israel Moiseevich Gelfand, the invited papers in this volume reflect the unity of mathematics as a whole, with particular emphasis on the many connections among the fields of geometry, physics, and representation theory. Written by...

From Geometry to Quantum Mechanics

Yoshiaki Maeda , Peter Michor , Takushiro Ochiai , Akira Yoshioka

Hideki Omori is widely recognized as one of the world’s most creative and original mathematicians. This volume is dedicated toHideki Omori on the occasion of his retirement from Tokyo University of Science. His retirement was also celebrated in April 2004 with an...

Rigorous Quantum Field Theory

Anne Boutet De Monvel , Detlev Buchholz , Daniel Iagolnitzer , Ugo Moschella

Jacques Bros has greatly advanced our present understanding of rigorous quantum field theory through numerous fundamental contributions. The impact of his work is also visible in several articles in this book. Quantum fields are considered as genuine mathematical...

Number Fields and Function Fields – Two Parallel Worlds

Bjj Moonen , René Schoof , Gerard B. M. Van Der Geer

Ever since the analogy between number fields and function fields was discovered, it has been a source of inspiration for new ideas, and a long history has not in any way detracted from the appeal of the subject. As a deeper understanding of this analogy could have...

The Fourfold Way in Real Analysis

André Unterberger

The Algebra of Secondary Cohomology Operations

Hans-Joachim Baues

The algebra of primary cohomology operations computed by the well-known Steenrod algebra is one of the most powerful tools of algebraic topology. This book computes the algebra of secondary cohomology operations which enriches the structure of the Steenrod algebra in a...

Infinite Groups: Geometric, Combinatorial and Dynamical Aspects

Laurent Bartholdi , Tullio Ceccherini-Silberstein , Tatiana Smirnova-Nagnibeda , Andrzej Zuk

This book offers a panorama of recent advances in the theory of infinite groups. It contains survey papers contributed by leading specialists in group theory and other areas of mathematics. Topics include amenable groups, Kaehler groups, automorphism groups of rooted...

Perturbation Methods and Semilinear Elliptic Problems on R^n

Antonio Ambrosetti , Andrea Malchiodi

Several important problems arising in Physics, Di?erential Geometry and other n topics lead to consider semilinear variational elliptic equations on R and a great deal of work has been devoted to their study. From the mathematical point of view, the main interest relies...

Lie Theory

Jean-Philippe Anker , Bent Orsted

Semisimple Lie groups, and their algebraic analogues over fields other than the reals, are of fundamental importance in geometry, analysis, and mathematical physics. Three independent, self-contained volumes, under the general title of Lie Theory, feature survey work...

Lie Theory

Jean-Philippe Anker , Bent Orsted

Lie Theory: Unitary Representations and Compactifications of Symmetric Spaces, a self-contained work by A. Borel, L. Ji and T. Kobayashi, focuses on two fundamental questions in the theory of semisimpleLie groups: the geometry of Riemannian symmetric spaces and their...

Poisson Structures and Their Normal Forms

Jean-Paul Dufour , Nguyen Tien Zung

Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold:...