Selected Works Of Ilya Piatetski Shapiro

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Selected Works of Ilya Piatetski-Shapiro

Author : Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro
Publisher : American Mathematical Soc.
Page : 860 pages
File Size : 45,5 Mb
Release : 2000
Category : Mathematics
ISBN : 082180930X

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Selected Works of Ilya Piatetski-Shapiro by Ilʹi︠a︡ Iosifovich Pi︠a︡tet︠s︡kiĭ-Shapiro Pdf

This selection of papers of Ilya Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic L-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Selected Works of Ilya Piatetski-Shapiro

Author : James Cogdell,Simon Gindikin,Peter Sarnak
Publisher : American Mathematical Society
Page : 852 pages
File Size : 45,9 Mb
Release : 2022-11-03
Category : Mathematics
ISBN : 9781470454944

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Selected Works of Ilya Piatetski-Shapiro by James Cogdell,Simon Gindikin,Peter Sarnak Pdf

This selection of papers of I. Piatetski-Shapiro represents almost 50 years of his mathematical activity. Included are many of his major papers in harmonic analysis, number theory, discrete groups, bounded homogeneous domains, algebraic geometry, automorphic forms, and automorphic $L$-functions. The papers in the volume are intended as a representative and accurate reflection of both the breadth and depth of Piatetski-Shapiro's work in mathematics. Some of his early works, such as those on the prime number theorem and on sets of uniqueness for trigonometric series, appear for the first time in English. Also included are several commentaries by his close colleagues. This volume offers an elegant representation of the contributions made by this renowned mathematician.

Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro

Author : James W. Cogdell,Freydoon Shahidi,David Soudry
Publisher : American Mathematical Soc.
Page : 454 pages
File Size : 54,8 Mb
Release : 2014-04-01
Category : Mathematics
ISBN : 9780821893944

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Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro by James W. Cogdell,Freydoon Shahidi,David Soudry Pdf

This volume contains the proceedings of the conference Automorphic Forms and Related Geometry: Assessing the Legacy of I.I. Piatetski-Shapiro, held from April 23-27, 2012, at Yale University, New Haven, CT. Ilya I. Piatetski-Shapiro, who passed away on 21 February 2009, was a leading figure in the theory of automorphic forms. The conference attempted both to summarize and consolidate the progress that was made during Piatetski-Shapiro's lifetime by him and a substantial group of his co-workers, and to promote future work by identifying fruitful directions of further investigation. It was organized around several themes that reflected Piatetski-Shapiro's main foci of work and that have promise for future development: functoriality and converse theorems; local and global -functions and their periods; -adic -functions and arithmetic geometry; complex geometry; and analytic number theory. In each area, there were talks to review the current state of affairs with special attention to Piatetski-Shapiro's contributions, and other talks to report on current work and to outline promising avenues for continued progress. The contents of this volume reflect most of the talks that were presented at the conference as well as a few additional contributions. They all represent various aspects of the legacy of Piatetski-Shapiro.

Selected Papers of S. A. Amitsur with Commentary

Author : Shimshon A. Amitsur,Avinoam Mann
Publisher : American Mathematical Soc.
Page : 626 pages
File Size : 44,5 Mb
Release : 2001
Category : Mathematics
ISBN : 0821829246

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Selected Papers of S. A. Amitsur with Commentary by Shimshon A. Amitsur,Avinoam Mann Pdf

This handsomely-bound volume presents selected papers written by S.A. Amitsur on various topics in algebra. The approximately 50 papers in the first volume deal with general ring theory and rings satisfying a polynomial identity. A sampling of topics includes algebras over infinite fields, commutative linear differential operators, a generalization of Hilbert's Nullstellensatz, and central embeddings in semi-simple rings. Two essays on Amitsur's work and a biography also are included. The volume is not indexed. c. Book News Inc.

The Selected Works of Sigurdur Helgason

Author : Sigurdur Helgason
Publisher : American Mathematical Soc.
Page : 765 pages
File Size : 44,9 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847534

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The Selected Works of Sigurdur Helgason by Sigurdur Helgason Pdf

Collects the articles that cover invariant differential operators, geometric properties of solutions to differential equations on symmetric spaces, double fibrations in integral geometry, spherical functions and spherical transforms, duality for symmetric spaces, representation theory, and the Fourier transform on G/K.

Selected Works of Phillip A. Griffiths with Commentary

Author : Phillip Griffiths,Maurizio Cornalba
Publisher : American Mathematical Soc.
Page : 694 pages
File Size : 53,6 Mb
Release : 2003
Category : Mathematics
ISBN : 0821820869

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Selected Works of Phillip A. Griffiths with Commentary by Phillip Griffiths,Maurizio Cornalba Pdf

Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Collected Papers of John Milnor

Author : John Willard Milnor
Publisher : American Mathematical Soc.
Page : 388 pages
File Size : 40,8 Mb
Release : 1994
Category : Algebra
ISBN : 9780821844755

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Collected Papers of John Milnor by John Willard Milnor Pdf

The Selected Works of Phillip A. Griffiths with Commentary

Author : Phillip Griffiths
Publisher : Unknown
Page : 824 pages
File Size : 47,5 Mb
Release : 2003
Category : Mathematics
ISBN : UOM:39015062467520

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The Selected Works of Phillip A. Griffiths with Commentary by Phillip Griffiths Pdf

Over the last four decades, Phillip Griffiths has been a central figure in mathematics. During this time, he made crucial contributions in several fields, including complex analysis, algebraic geometry, and differential systems. His books and papers are distinguished by a remarkably lucid style that invites the reader to understand not only the subject at hand, but also the connections among seemingly unrelated areas of mathematics. Even today, many of Griffiths' papers are used as a standard source on a subject. Another important feature of Griffiths' writings is that they often bring together classical and modern mathematics. The four parts of Selected Works--Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems--are organized according to the subject matter and are supplemented by Griffiths' brief, but extremely illuminating, personal reflections on the mathematical content and the times in which they were produced. Griffiths' Selected Works provide the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.

Selected Papers of Alberto P. Calderon with Commentary

Author : Alberto P. Calderón
Publisher : American Mathematical Soc.
Page : 686 pages
File Size : 55,7 Mb
Release : 2008
Category : Mathematics
ISBN : 0821842978

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Selected Papers of Alberto P. Calderon with Commentary by Alberto P. Calderón Pdf

Alberto Calderon was one of the leading mathematicians of the twentieth century. His fundamental, pioneering work reshaped the landscape of mathematical analysis. This volume presents a wide selection from some of Calderon's most influential papers. They range from singular integrals to partial differential equations, from interpolation theory to Cauchy integrals on Lipschitz curves, from inverse problems to ergodic theory. The depth, originality, and historical impact of these works are vividly illustrated by the accompanying commentaries by some of today's leading figures in analysis. In addition, two biographical chapters preface the volume. They discuss Alberto Calderon's early life and his mathematical career.

Mathematics as Metaphor

Author : I͡U. I. Manin
Publisher : American Mathematical Soc.
Page : 258 pages
File Size : 45,9 Mb
Release : 2007
Category : Mathematics
ISBN : 9780821843314

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Mathematics as Metaphor by I͡U. I. Manin Pdf

Includes essays that are grouped in three parts: Mathematics; Mathematics and Physics; and, Language, Consciousness, and Book reviews. This book is suitable for those interested in the philosophy and history of mathematics, physics, and linguistics.

Collected Works of Herve Jacquet

Author : Hervé Jacquet,D. Goldfeld
Publisher : American Mathematical Soc.
Page : 618 pages
File Size : 55,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9780821853566

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Collected Works of Herve Jacquet by Hervé Jacquet,D. Goldfeld Pdf

Herve Jacquet is one of the founders of the modern theory of automorphic representations and their associated $L$-functions. This volume represents a selection of his most influential papers not already available in book form. The volume contains papers on the $L$-function attached to a pair of representations of the general linear group. Thus, it completes Jacquet's papers on the subject (joint with Shalika and Piatetski-Shapiro) that can be found in the volume of selected works of Piatetski-Shapiro. In particular, two often quoted papers of Jacquet and Shalika on the classification of automorphic representations and a historically important paper of Gelbart and Jacquet on the functorial transfer from $GL(2)$ to $GL(3)$ are included. Another series of papers pertains to the relative trace formula introduced by Jacquet. This is a variant of the standard trace formula which is used to study the period integrals of automorphic forms. Nearly complete results are obtained for the period of an automorphic form over a unitary group.

Collected Works of William P. Thurston with Commentary

Author : Benson Farb,David Gabai,Steven P. Kerckhoff
Publisher : American Mathematical Society
Page : 629 pages
File Size : 46,9 Mb
Release : 2023-06-08
Category : Mathematics
ISBN : 9781470474706

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Collected Works of William P. Thurston with Commentary by Benson Farb,David Gabai,Steven P. Kerckhoff Pdf

William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume III contains William Thurston's papers on dynamics and computer science, and papers written for general audiences. Additional miscellaneous papers are also included, such as his 1967 New College undergraduate thesis, which foreshadows his later work.

The Geometry and Topology of Three-Manifolds

Author : William P. Thurston
Publisher : American Mathematical Society
Page : 337 pages
File Size : 40,5 Mb
Release : 2023-06-16
Category : Mathematics
ISBN : 9781470474744

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The Geometry and Topology of Three-Manifolds by William P. Thurston Pdf

William Thurston's work has had a profound influence on mathematics. He connected whole mathematical subjects in entirely new ways and changed the way mathematicians think about geometry, topology, foliations, group theory, dynamical systems, and the way these areas interact. His emphasis on understanding and imagination in mathematical learning and thinking are integral elements of his distinctive legacy. This four-part collection brings together in one place Thurston's major writings, many of which are appearing in publication for the first time. Volumes I–III contain commentaries by the Editors. Volume IV includes a preface by Steven P. Kerckhoff. Volume IV contains Thurston's highly influential, though previously unpublished, 1977–78 Princeton Course Notes on the Geometry and Topology of 3-manifolds. It is an indispensable part of the Thurston collection but can also be used on its own as a textbook or for self-study.

Automorphic Forms and $L$-functions II

Author : David Ginzburg
Publisher : American Mathematical Soc.
Page : 339 pages
File Size : 51,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847084

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Automorphic Forms and $L$-functions II by David Ginzburg Pdf

Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.

Automorphic Forms and $L$-functions I

Author : David Ginzburg,Erez Lapid,David Soudry
Publisher : American Mathematical Soc.
Page : 315 pages
File Size : 40,6 Mb
Release : 2009
Category : Mathematics
ISBN : 9780821847060

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Automorphic Forms and $L$-functions I by David Ginzburg,Erez Lapid,David Soudry Pdf

Includes articles that represent global aspects of automorphic forms. This book covers topics such as: the trace formula; functoriality; representations of reductive groups over local fields; the relative trace formula and periods of automorphic forms; Rankin - Selberg convolutions and L-functions; and, p-adic L-functions.