Analyzable Functions and Applications

Analyzable Functions and Applications PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821857076
Category : Asymptotic expansions
Languages : en
Pages : 371

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Book Description

Analyzable Functions and Applications

Analyzable Functions and Applications PDF Author:
Publisher: American Mathematical Soc.
ISBN: 9780821857076
Category : Asymptotic expansions
Languages : en
Pages : 371

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Book Description


Recent Advances in Operator-Related Function Theory

Recent Advances in Operator-Related Function Theory PDF Author: Alec L. Matheson
Publisher: American Mathematical Soc.
ISBN: 082183925X
Category : Mathematics
Languages : en
Pages : 230

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Book Description
The articles in this book are based on talks at a conference devoted to interrelations between function theory and the theory of operators. The main theme of the book is the role of Alexandrov-Clark measures. Two of the articles provide the introduction to the theory of Alexandrov-Clark measures and to its applications in the spectral theory of linear operators. The remaining articles deal with recent results in specific directions related to the theme of the book.

Commutative Algebra and Algebraic Geometry

Commutative Algebra and Algebraic Geometry PDF Author: Sudhir Ghorpade
Publisher: American Mathematical Soc.
ISBN: 0821836293
Category : Mathematics
Languages : en
Pages : 192

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Book Description
The first Joint AMS-India Mathematics Meeting was held in Bangalore (India). This book presents articles written by speakers from a special session on commutative algebra and algebraic geometry. Included are contributions from some leading researchers around the world in this subject area. The volume contains new and original research papers and survey articles suitable for graduate students and researchers interested in commutative algebra and algebraic geometry.

Symmetries and Related Topics in Differential and Difference Equations

Symmetries and Related Topics in Differential and Difference Equations PDF Author: David Blázquez-Sanz
Publisher: American Mathematical Soc.
ISBN: 0821868721
Category : Mathematics
Languages : en
Pages : 178

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Book Description
The papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.

Renormalization and Galois Theories

Renormalization and Galois Theories PDF Author: Frédéric Fauvet
Publisher: European Mathematical Society
ISBN: 9783037190739
Category : Mathematics
Languages : en
Pages : 284

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Book Description
This volume is the outcome of a CIRM Workshop on Renormalization and Galois Theories held in Luminy, France, in March 2006. The subject of this workshop was the interaction and relationship between four currently very active areas: renormalization in quantum field theory (QFT), differential Galois theory, noncommutative geometry, motives and Galois theory. The last decade has seen a burst of new techniques to cope with the various mathematical questions involved in QFT, with notably the development of a Hopf-algebraic approach and insights into the classes of numbers and special functions that systematically appear in the calculations of perturbative QFT (pQFT). The analysis of the ambiguities of resummation of the divergent series of pQFT, an old problem, has been renewed, using recent results on Gevrey asymptotics, generalized Borel summation, Stokes phenomenon and resurgent functions. The purpose of the present book is to highlight, in the context of renormalization, the convergence of these various themes, orchestrated by diverse Galois theories. It contains three lecture courses together with five research articles and will be useful to both researchers and graduate students in mathematics and physics.

$p$-Adic Analysis, Arithmetic and Singularities

$p$-Adic Analysis, Arithmetic and Singularities PDF Author: Carlos Galindo
Publisher: American Mathematical Society
ISBN: 1470467798
Category : Mathematics
Languages : en
Pages : 311

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Book Description
This volume contains the proceedings of the 2019 Lluís A. Santaló Summer School on $p$-Adic Analysis, Arithmetic and Singularities, which was held from June 24–28, 2019, at the Universidad Internacional Menéndez Pelayo, Santander, Spain. The main purpose of the book is to present and analyze different incarnations of the local zeta functions and their multiple connections in mathematics and theoretical physics. Local zeta functions are ubiquitous objects in mathematics and theoretical physics. At the mathematical level, local zeta functions contain geometry and arithmetic information about the set of zeros defined by a finite number of polynomials. In terms of applications in theoretical physics, these functions play a central role in the regularization of Feynman amplitudes and Koba-Nielsen-type string amplitudes, among other applications. This volume provides a gentle introduction to a very active area of research that lies at the intersection of number theory, $p$-adic analysis, algebraic geometry, singularity theory, and theoretical physics. Specifically, the book introduces $p$-adic analysis, the theory of Archimedean, $p$-adic, and motivic zeta functions, singularities of plane curves and their Poincaré series, among other similar topics. It also contains original contributions in the aforementioned areas written by renowned specialists. This book is an important reference for students and experts who want to delve quickly into the area of local zeta functions and their many connections in mathematics and theoretical physics.

An Alpine Anthology of Homotopy Theory

An Alpine Anthology of Homotopy Theory PDF Author: Dominique Arlettaz
Publisher: American Mathematical Soc.
ISBN: 082183696X
Category : Mathematics
Languages : en
Pages : 228

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Book Description
The second Arolla conference on algebraic topology brought together specialists covering a wide range of homotopy theory and $K$-theory. These proceedings reflect both the variety of talks given at the conference and the diversity of promising research directions in homotopy theory. The articles contained in this volume include significant contributions to classical unstable homotopy theory, model category theory, equivariant homotopy theory, and the homotopy theory of fusionsystems, as well as to $K$-theory of both local fields and $C*$-algebras.

Proceedings of the Conference on Differential Equations and the Stokes Phenomenon

Proceedings of the Conference on Differential Equations and the Stokes Phenomenon PDF Author: Boele Lieuwe Jan Braaksma
Publisher: World Scientific
ISBN: 9789812381729
Category : Mathematics
Languages : en
Pages : 352

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Book Description
Offers a snapshot concerning the state of the art in the areas of differential, difference and q-difference equations.

Snowbird Lectures in Algebraic Geometry

Snowbird Lectures in Algebraic Geometry PDF Author: Ravi Vakil
Publisher: American Mathematical Soc.
ISBN: 0821837192
Category : Mathematics
Languages : en
Pages : 202

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Book Description
A significant part of the 2004 Summer Research Conference on Algebraic Geometry (Snowbird, UT) was devoted to lectures introducing the participants, in particular, graduate students and recent Ph.D.'s, to a wide swathe of algebraic geometry and giving them a working familiarity with exciting, rapidly developing parts of the field. One of the main goals of the organizers was to allow the participants to broaden their horizons beyond the narrow area in which they are working. A fine selection of topics and a noteworthy list of contributors made the resulting collection of articles a useful resource for everyone interested in getting acquainted with the modern topic of algebraic geometry. The book consists of ten articles covering, among others, the following topics: the minimal model program, derived categories of sheaves on algebraic varieties, Kobayashi hyperbolicity, groupoids and quotients in algebraic geometry, rigid analytic varieties, and equivariant cohomology. Suitable for independent study, this unique volume is intended for graduate students and researchers interested in algebraic geometry.

Geometry, Spectral Theory, Groups, and Dynamics

Geometry, Spectral Theory, Groups, and Dynamics PDF Author: Robert Brooks
Publisher: American Mathematical Soc.
ISBN: 0821837109
Category : Mathematics
Languages : en
Pages : 298

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Book Description
This volume contains articles based on talks given at the Robert Brooks Memorial Conference on Geometry and Spectral Theory and the Workshop on Groups, Geometry and Dynamics held at Technion - the Israel Institute of Technology (Haifa). Robert Brooks' (1952 - 2002) broad range of mathematical interests is represented in the volume, which is devoted to various aspects of global analysis, spectral theory, the theory of Riemann surfaces, Riemannian and discrete geometry, and numbertheory. A survey of Brooks' work has been written by his close colleague, Peter Buser. Also included in the volume are articles on analytic topics, such as Szego's theorem, and on geometric topics, such as isoperimetric inequalities and symmetries of manifolds. The book is suitable for graduate studentsand researchers interested in various aspects of geometry and global analysis.