Nigel J Kalton Selecta

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Nigel J. Kalton Selecta

Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Nigel J Kalton Selecta Book PDF

Author : Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Publisher : Birkhäuser
Page : 771 pages
File Size : 51,8 Mb
Release : 2016-07-05
Category : Mathematics
ISBN : 9783319187969

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Nigel J. Kalton Selecta by Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky Pdf

This book is the first part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory, and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Nigel J. Kalton Selecta

Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Nigel J Kalton Selecta Book PDF

Author : Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Publisher : Birkhäuser
Page : 777 pages
File Size : 49,5 Mb
Release : 2016-07-05
Category : Mathematics
ISBN : 9783319187990

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Nigel J. Kalton Selecta by Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky Pdf

This is the second part of a two volume anthology comprising a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow, and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Homological Methods in Banach Space Theory

Félix Cabello Sánchez,Jesús M. F. Castillo
Homological Methods in Banach Space Theory Book PDF

Author : Félix Cabello Sánchez,Jesús M. F. Castillo
Publisher : Cambridge University Press
Page : 562 pages
File Size : 42,6 Mb
Release : 2023-01-31
Category : Mathematics
ISBN : 9781108807883

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Homological Methods in Banach Space Theory by Félix Cabello Sánchez,Jesús M. F. Castillo Pdf

Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written by two world experts on homological methods in Banach space theory, gives functional analysts a new perspective on their field and new tools to tackle its problems. All techniques and constructions from homological algebra and category theory are introduced from scratch and illustrated with concrete examples at varying levels of sophistication. These techniques are then used to present both important classical results and powerful advances from recent years. Finally, the authors apply them to solve many old and new problems in the theory of (quasi-) Banach spaces and outline new lines of research. Containing a lot of material unavailable elsewhere in the literature, this book is the definitive resource for functional analysts who want to know what homological algebra can do for them.

Analysis in Banach Spaces

Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Analysis in Banach Spaces Book PDF

Author : Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis
Publisher : Springer
Page : 616 pages
File Size : 43,9 Mb
Release : 2018-02-14
Category : Mathematics
ISBN : 9783319698083

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Analysis in Banach Spaces by Tuomas Hytönen,Jan van Neerven,Mark Veraar,Lutz Weis Pdf

This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory. The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.

Nigel J. Kalton Selecta

Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Nigel J Kalton Selecta Book PDF

Author : Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky
Publisher : Birkhäuser
Page : 1615 pages
File Size : 42,5 Mb
Release : 2015-09-08
Category : Mathematics
ISBN : 3319188046

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Nigel J. Kalton Selecta by Fritz Gesztesy,Gilles Godefroy,Loukas Grafakos,Igor Verbitsky Pdf

This two-volume set gathers a selection of 49 articles that illustrate the depth, breadth and scope of Nigel Kalton’s research. Each article is accompanied by comments from an expert on the respective topic, which serves to situate the article in its proper context, to successfully link past, present and hopefully future developments of the theory and to help readers grasp the extent of Kalton’s accomplishments. Kalton’s work represents a bridge to the mathematics of tomorrow and this book will help readers to cross it. Nigel Kalton (1946-2010) was an extraordinary mathematician who made major contributions to an amazingly diverse range of fields over the course of his career.

Spaces of Measures and their Applications to Structured Population Models

Christian Düll,Piotr Gwiazda,Anna Marciniak-Czochra,Jakub Skrzeczkowski
Spaces of Measures and their Applications to Structured Population Models Book PDF

Author : Christian Düll,Piotr Gwiazda,Anna Marciniak-Czochra,Jakub Skrzeczkowski
Publisher : Cambridge University Press
Page : 321 pages
File Size : 40,5 Mb
Release : 2021-10-07
Category : Mathematics
ISBN : 9781316519103

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Spaces of Measures and their Applications to Structured Population Models by Christian Düll,Piotr Gwiazda,Anna Marciniak-Czochra,Jakub Skrzeczkowski Pdf

Presents a comprehensive analytical framework for structured population models in spaces of Radon measures and their numerical approximation.

Positivity and Noncommutative Analysis

Gerard Buskes,Marcel de Jeu,Peter Dodds,Anton Schep,Fedor Sukochev,Jan van Neerven,Anthony Wickstead
Positivity and Noncommutative Analysis Book PDF

Author : Gerard Buskes,Marcel de Jeu,Peter Dodds,Anton Schep,Fedor Sukochev,Jan van Neerven,Anthony Wickstead
Publisher : Springer
Page : 604 pages
File Size : 50,8 Mb
Release : 2019-08-09
Category : Mathematics
ISBN : 9783030108502

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Positivity and Noncommutative Analysis by Gerard Buskes,Marcel de Jeu,Peter Dodds,Anton Schep,Fedor Sukochev,Jan van Neerven,Anthony Wickstead Pdf

Capturing the state of the art of the interplay between positivity, noncommutative analysis, and related areas including partial differential equations, harmonic analysis, and operator theory, this volume was initiated on the occasion of the Delft conference in honour of Ben de Pagter's 65th birthday. It will be of interest to researchers in positivity, noncommutative analysis, and related fields. Contributions by Shavkat Ayupov, Amine Ben Amor, Karim Boulabiar, Qingying Bu, Gerard Buskes, Martijn Caspers, Jurie Conradie, Garth Dales, Marcel de Jeu, Peter Dodds, Theresa Dodds, Julio Flores, Jochen Glück, Jacobus Grobler, Wolter Groenevelt, Markus Haase, Klaas Pieter Hart, Francisco Hernández, Jamel Jaber, Rien Kaashoek, Turabay Kalandarov, Anke Kalauch, Arkady Kitover, Erik Koelink, Karimbergen Kudaybergenov, Louis Labuschagne, Yongjin Li, Nick Lindemulder, Emiel Lorist, Qi Lü, Miek Messerschmidt, Susumu Okada, Mehmet Orhon, Denis Potapov, Werner Ricker, Stephan Roberts, Pablo Román, Anton Schep, Claud Steyn, Fedor Sukochev, James Sweeney, Guido Sweers, Pedro Tradacete, Jan Harm van der Walt, Onno van Gaans, Jan van Neerven, Arnoud van Rooij, Freek van Schagen, Dominic Vella, Mark Veraar, Anthony Wickstead, Marten Wortel, Ivan Yaroslavtsev, and Dmitriy Zanin.

Euclidean Structures and Operator Theory in Banach Spaces

Nigel J. Kalton,Emiel Lorist,Lutz Weis
Euclidean Structures and Operator Theory in Banach Spaces Book PDF

Author : Nigel J. Kalton,Emiel Lorist,Lutz Weis
Publisher : American Mathematical Society
Page : 168 pages
File Size : 41,6 Mb
Release : 2023-09-15
Category : Mathematics
ISBN : 9781470467036

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Euclidean Structures and Operator Theory in Banach Spaces by Nigel J. Kalton,Emiel Lorist,Lutz Weis Pdf

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Raoul Bott: Collected Papers

Loring W. Tu
Raoul Bott Collected Papers Book PDF

Author : Loring W. Tu
Publisher : Birkhäuser
Page : 676 pages
File Size : 53,9 Mb
Release : 2018-03-26
Category : Mathematics
ISBN : 9783319517810

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Raoul Bott: Collected Papers by Loring W. Tu Pdf

This book is the fifth and final volume of Raoul Bott’s Collected Papers. It collects all of Bott’s published articles since 1991 as well as some articles published earlier but missing in the earlier volumes. The volume also contains interviews with Raoul Bott, several of his previously unpublished speeches, commentaries by his collaborators such as Alberto Cattaneo and Jonathan Weitsman on their joint articles with Bott, Michael Atiyah’s obituary of Raoul Bott, Loring Tu’s authorized biography of Raoul Bott, and reminiscences of Raoul Bott by his friends, students, colleagues, and collaborators, among them Stephen Smale, David Mumford, Arthur Jaffe, Shing-Tung Yau, and Loring Tu. The mathematical articles, many inspired by physics, encompass stable vector bundles, knot and manifold invariants, equivariant cohomology, and loop spaces. The nonmathematical contributions give a sense of Bott’s approach to mathematics, style, personality, zest for life, and humanity. In one of the articles, from the vantage point of his later years, Raoul Bott gives a tour-de-force historical account of one of his greatest achievements, the Bott periodicity theorem. A large number of the articles originally appeared in hard-to-find conference proceedings or journals. This volume makes them all easily accessible. It also features a collection of photographs giving a panoramic view of Raoul Bott's life and his interaction with other mathematicians.

Louis Boutet de Monvel, Selected Works

Victor W. Guillemin,Johannes Sjöstrand
Louis Boutet de Monvel Selected Works Book PDF

Author : Victor W. Guillemin,Johannes Sjöstrand
Publisher : Birkhäuser
Page : 0 pages
File Size : 50,6 Mb
Release : 2017-05-16
Category : Mathematics
ISBN : 3319279076

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Louis Boutet de Monvel, Selected Works by Victor W. Guillemin,Johannes Sjöstrand Pdf

This book features a selection of articles by Louis Boutet de Monvel and presents his contributions to the theory of partial differential equations and analysis. The works selected here reveal his central role in the development of his field, including three cornerstones: firstly, analytic pseudodifferential operators, which have become a fundamental aspect of analytic microlocal analysis, and secondly the Boutet de Monvel calculus for boundary problems for elliptic partial differential operators, which is still an important tool also in index theory. Thirdly, Boutet de Monvel was one of the first people to recognize the importance of the existence of generalized functions, whose singularities are concentrated on a single ray in phase space, which led him to make essential contributions to hypoelliptic operators and to a very successful and influential calculus of Toeplitz operators with applications to spectral and index theory. Other topics treated here include microlocal analysis, star products and deformation quantization as well as problems in several complex variables, index theory and geometric quantization. This book will appeal to both experts in the field and students who are new to this subject.

Banach Spaces and their Applications in Analysis

Beata Randrianantoanina,Narcisse Randrianantoanina
Banach Spaces and their Applications in Analysis Book PDF

Author : Beata Randrianantoanina,Narcisse Randrianantoanina
Publisher : Walter de Gruyter
Page : 465 pages
File Size : 43,6 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9783110918298

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Banach Spaces and their Applications in Analysis by Beata Randrianantoanina,Narcisse Randrianantoanina Pdf

In recent years there has been a surge of profound new developments in various aspects of analysis whose connecting thread is the use of Banach space methods. Indeed, many problems seemingly far from the classical geometry of Banach spaces have been solved using Banach space techniques. This volume contains papers by participants of the conference "Banach Spaces and their Applications in Analysis", held in May 2006 at Miami University in Oxford, Ohio, in honor of Nigel Kalton's 60th birthday. In addition to research articles contributed by participants, the volume includes invited expository articles by principal speakers of the conference, who are leaders in their areas. These articles present overviews of new developments in each of the conference's main areas of emphasis, namely nonlinear theory, isomorphic theory of Banach spaces including connections with combinatorics and set theory, algebraic and homological methods in Banach spaces, approximation theory and algorithms in Banach spaces. This volume also contains an expository article about the deep and broad mathematical work of Nigel Kalton, written by his long time collaborator, Gilles Godefroy. Godefroy's article, and in fact the entire volume, illustrates the power and versatility of applications of Banach space methods and underlying connections between seemingly distant areas of analysis.

Ramanujan

Srinivasa Ramanujan Aiyangar
Ramanujan Book PDF

Author : Srinivasa Ramanujan Aiyangar
Publisher : American Mathematical Soc.
Page : 366 pages
File Size : 51,5 Mb
Release : 1995-09-07
Category : Mathematics
ISBN : 0821891251

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Ramanujan by Srinivasa Ramanujan Aiyangar Pdf

The letters that Ramanujan wrote to G. H. Hardy on January 16 and February 27, 1913, are two of the most famous letters in the history of mathematics. These and other letters introduced Ramanujan and his remarkable theorems to the world and stimulated much research, especially in the 1920s and 1930s. This book brings together many letters to, from, and about Ramanujan. The letters came from the National Archives in Delhi, the Archives in the State of Tamil Nadu, and a variety of other sources. Helping to orient the reader is the extensive commentary, both mathematical and cultural, by Berndt and Rankin; in particular, they discuss in detail the history, up to the present day, of each mathematical result in the letters. Containing many letters that have never been published before, this book will appeal to those interested in Ramanujan's mathematics as well as those wanting to learn more about the personal side of his life. Ramanujan: Letters and Commentary was selected for the CHOICE list of Outstanding Academic Books for 1996.

Absolutely Summing Operators

Joe Diestel,Hans Jarchow,Andrew Tonge
Absolutely Summing Operators Book PDF

Author : Joe Diestel,Hans Jarchow,Andrew Tonge
Publisher : Cambridge University Press
Page : 494 pages
File Size : 49,9 Mb
Release : 1995-04-27
Category : Mathematics
ISBN : 0521431689

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Absolutely Summing Operators by Joe Diestel,Hans Jarchow,Andrew Tonge Pdf

This text provides the beginning graduate student with an account of p-summing and related operators.

The Functional Calculus for Sectorial Operators

Markus Haase
The Functional Calculus for Sectorial Operators Book PDF

Author : Markus Haase
Publisher : Springer Science & Business Media
Page : 399 pages
File Size : 51,6 Mb
Release : 2006-08-18
Category : Mathematics
ISBN : 9783764376987

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The Functional Calculus for Sectorial Operators by Markus Haase Pdf

This book contains a systematic and partly axiomatic treatment of the holomorphic functional calculus for unbounded sectorial operators. The account is generic so that it can be used to construct and interrelate holomorphic functional calculi for other types of unbounded operators. Particularly, an elegant unified approach to holomorphic semigroups is obtained. The last chapter describes applications to PDE, evolution equations and approximation theory as well as the connection with harmonic analysis.

Elementary Theory of Analytic Functions of One or Several Complex Variables

Henri Cartan
Elementary Theory of Analytic Functions of One or Several Complex Variables Book PDF

Author : Henri Cartan
Publisher : Courier Corporation
Page : 242 pages
File Size : 55,6 Mb
Release : 2013-04-22
Category : Mathematics
ISBN : 9780486318677

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Elementary Theory of Analytic Functions of One or Several Complex Variables by Henri Cartan Pdf

Basic treatment includes existence theorem for solutions of differential systems where data is analytic, holomorphic functions, Cauchy's integral, Taylor and Laurent expansions, more. Exercises. 1973 edition.