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Selected Papers Of Alberto P Calderon With Commentary
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Book Synopsis Selected Papers of Alberto P. Calderon with Commentary by : Alberto P. Calderón
Download or read book Selected Papers of Alberto P. Calderon with Commentary written by Alberto P. Calderón and published by American Mathematical Soc.. This book was released on 2008 with total page 686 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Collected Papers of John Milnor by : John Willard Milnor
Download or read book Collected Papers of John Milnor written by John Willard Milnor and published by American Mathematical Soc.. This book was released on 1994 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Collected Works of William P. Thurston with Commentary by : Benson Farb
Download or read book Collected Works of William P. Thurston with Commentary written by Benson Farb and published by American Mathematical Society. This book was released on 2023-06-08 with total page 629 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Selected Works of Sigurdur Helgason by : Sigurdur Helgason
Download or read book The Selected Works of Sigurdur Helgason written by Sigurdur Helgason and published by American Mathematical Soc.. This book was released on 2009 with total page 765 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis The Geometry and Topology of Three-Manifolds by : William P. Thurston
Download or read book The Geometry and Topology of Three-Manifolds written by William P. Thurston and published by American Mathematical Society. This book was released on 2023-06-16 with total page 337 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Functional Analysis, Harmonic Analysis, and Image Processing by : Michael Cwikel
Download or read book Functional Analysis, Harmonic Analysis, and Image Processing written by Michael Cwikel and published by American Mathematical Soc.. This book was released on 2017-07-26 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of Björn Jawerth. It contains original research contributions and surveys in several of the areas of mathematics to which Björn made important contributions. Those areas include harmonic analysis, image processing, and functional analysis, which are of course interrelated in many significant and productive ways. Among the contributors are some of the world's leading experts in these areas. With its combination of research papers and surveys, this book may become an important reference and research tool. This book should be of interest to advanced graduate students and professional researchers in the areas of functional analysis, harmonic analysis, image processing, and approximation theory. It combines articles presenting new research with insightful surveys written by foremost experts.
Book Synopsis Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs by : Frederic Weidling
Download or read book Variational Source Conditions and Conditional Stability Estimates for Inverse Problems in PDEs written by Frederic Weidling and published by Göttingen University Press. This book was released on 2019 with total page 225 pages. Available in PDF, EPUB and Kindle. Book excerpt: In inverse problems one wants to find some parameter of interest which is not directly observable by indirect measurement. These measurements are usually noisy while the mapping of measurement to parameter is typically illposed (that is unstable). Therefore one applies regularization techniques that balance these two factors to find a stable approximation of the sought for parameter. However, in order to bound the reconstruction error, one needs additional information on the true parameter, which is nowadays typically formulated in terms of variational source conditions. In this thesis, we develop a general strategy to verify these conditions based on smoothness of the true parameter and the illposedness of the problem; the latter will be characterized by exploiting structural similarities to stability estimates. Following this, we apply our strategy to verify variational source conditions for parameter identification problems, inverse scattering and electrical impedance tomography.
Author :American Mathematical Society Publisher :American Mathematical Soc. ISBN 13 :082184881X Total Pages :258 pages Book Rating :4.8/5 (218 download)
Book Synopsis Selected Papers on Analysis and Differential Equations by : American Mathematical Society
Download or read book Selected Papers on Analysis and Differential Equations written by American Mathematical Society and published by American Mathematical Soc.. This book was released on 2010 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Volume includes English translation of ten expository articles published in the Japanese journal Sugaku."
Book Synopsis The Abel Prize 2013-2017 by : Helge Holden
Download or read book The Abel Prize 2013-2017 written by Helge Holden and published by Springer. This book was released on 2019-02-23 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents the winners of the Abel Prize in mathematics for the period 2013–17: Pierre Deligne (2013); Yakov G. Sinai (2014); John Nash Jr. and Louis Nirenberg (2015); Sir Andrew Wiles (2016); and Yves Meyer (2017). The profiles feature autobiographical information as well as a scholarly description of each mathematician’s work. In addition, each profile contains a Curriculum Vitae, a complete bibliography, and the full citation from the prize committee. The book also includes photos for the period 2003–2017 showing many of the additional activities connected with the Abel Prize. As an added feature, video interviews with the Laureates as well as videos from the prize ceremony are provided at an accompanying website (http://extras.springer.com/). This book follows on The Abel Prize: 2003-2007. The First Five Years (Springer, 2010) and The Abel Prize 2008-2012 (Springer 2014), which profile the work of the previous Abel Prize winners.
Book Synopsis The Mathematical Legacy of Leon Ehrenpreis by : Irene Sabadini
Download or read book The Mathematical Legacy of Leon Ehrenpreis written by Irene Sabadini and published by Springer Science & Business Media. This book was released on 2012-04-23 with total page 391 pages. Available in PDF, EPUB and Kindle. Book excerpt: Leon Ehrenpreis has been one of the leading mathematicians in the twentieth century. His contributions to the theory of partial differential equations were part of the golden era of PDEs, and led him to what is maybe his most important contribution, the Fundamental Principle, which he announced in 1960, and fully demonstrated in 1970. His most recent work, on the other hand, focused on a novel and far reaching understanding of the Radon transform, and offered new insights in integral geometry. Leon Ehrenpreis died in 2010, and this volume collects writings in his honor by a cadre of distinguished mathematicians, many of which were his collaborators.
Book Synopsis Pseudo-Differential Operators: Analysis, Applications and Computations by : Luigi Rodino
Download or read book Pseudo-Differential Operators: Analysis, Applications and Computations written by Luigi Rodino and published by Springer Science & Business Media. This book was released on 2011-03-13 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume consists of eighteen peer-reviewed papers related to lectures on pseudo-differential operators presented at the meeting of the ISAAC Group in Pseudo-Differential Operators (IGPDO) held at Imperial College London on July 13-18, 2009. Featured in this volume are the analysis, applications and computations of pseudo-differential operators in mathematics, physics and signal analysis. This volume is a useful complement to the volumes “Advances in Pseudo-Differential Operators”, “Pseudo-Differential Operators and Related Topics”, “Modern Trends in Pseudo-Differential Operators”, “New Developments in Pseudo-Differential Operators” and “Pseudo-Differential Operators: Complex Analysis and Partial Differential Equations” published in the same series in, respectively, 2004, 2006, 2007, 2009 and 2010.
Book Synopsis Selected Works of Donald L. Burkholder by : Burgess Davis
Download or read book Selected Works of Donald L. Burkholder written by Burgess Davis and published by Springer Science & Business Media. This book was released on 2011-02-18 with total page 715 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book chronicles Donald Burkholder's thirty-five year study of martingales and its consequences. Here are some of the highlights. Pioneering work by Burkholder and Donald Austin on the discrete time martingale square function led to Burkholder and Richard Gundy's proof of inequalities comparing the quadratic variations and maximal functions of continuous martingales, inequalities which are now indispensable tools for stochastic analysis. Part of their proof showed how novel distributional inequalities between the maximal function and quadratic variation lead to inequalities for certain integrals of functions of these operators. The argument used in their proof applies widely and is now called the Burkholder-Gundy good lambda method. This uncomplicated and yet extremely elegant technique, which does not involve randomness, has become important in many parts of mathematics. The continuous martingale inequalities were then used by Burkholder, Gundy, and Silverstein to prove the converse of an old and celebrated theorem of Hardy and Littlewood. This paper transformed the theory of Hardy spaces of analytic functions in the unit disc and extended and completed classical results of Marcinkiewicz concerning norms of conjugate functions and Hilbert transforms. While some connections between probability and analytic and harmonic functions had previously been known, this single paper persuaded many analysts to learn probability. These papers together with Burkholder's study of martingale transforms led to major advances in Banach spaces. A simple geometric condition given by Burkholder was shown by Burkholder, Terry McConnell, and Jean Bourgain to characterize those Banach spaces for which the analog of the Hilbert transform retains important properties of the classical Hilbert transform. Techniques involved in Burkholder's usually successful pursuit of best constants in martingale inequalities have become central to extensive recent research into two well- known open problems, one involving the two dimensional Hilbert transform and its connection to quasiconformal mappings and the other a conjecture in the calculus of variations concerning rank-one convex and quasiconvex functions. This book includes reprints of many of Burkholder's papers, together with two commentaries on his work and its continuing impact.
Book Synopsis Elliptic Partial Differential Equations From An Elementary Viewpoint: A Fresh Glance At The Classical Theory by : Serena Dipierro
Download or read book Elliptic Partial Differential Equations From An Elementary Viewpoint: A Fresh Glance At The Classical Theory written by Serena Dipierro and published by World Scientific. This book was released on 2024-07-02 with total page 670 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a textbook that covers several selected topics in the theory of elliptic partial differential equations which can be used in an advanced undergraduate or graduate course.The book considers many important issues such as existence, regularity, qualitative properties, and all the classical topics useful in the wide world of partial differential equations. It also includes applications with interesting examples.The structure of the book is flexible enough to allow different chapters to be taught independently.The book is friendly, welcoming, and written for a newcomer to the subject.It is essentially self-contained, making it easy to read, and all the concepts are fully explained from scratch, combining intuition and rigor, and therefore it can also be read independently by students, with limited or no supervision.
Book Synopsis Special Functions, Partial Differential Equations, and Harmonic Analysis by : Constantine Georgakis
Download or read book Special Functions, Partial Differential Equations, and Harmonic Analysis written by Constantine Georgakis and published by Springer. This book was released on 2014-11-07 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume of papers presented at the conference in honor of Calixto P. Calderón by his friends, colleagues, and students is intended to make the mathematical community aware of his important scholarly and research contributions in contemporary Harmonic Analysis and Mathematical Models applied to Biology and Medicine, and to stimulate further research in the future in this area of pure and applied mathematics.
Book Synopsis Trigonometric Series by : Antoni Zygmund
Download or read book Trigonometric Series written by Antoni Zygmund and published by Cambridge University Press. This book was released on 2002 with total page 784 pages. Available in PDF, EPUB and Kindle. Book excerpt: Both volumes of classic text on trigonometric series, with a foreword by Robert Fefferman.
Book Synopsis Mathematical Methods in Image Processing and Inverse Problems by : Xue-Cheng Tai
Download or read book Mathematical Methods in Image Processing and Inverse Problems written by Xue-Cheng Tai and published by Springer Nature. This book was released on 2021-09-25 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21–24, 2018. The book was dedicated to Professor Raymond Chan on the occasion of his 60th birthday. The contents of the book cover topics including image reconstruction, image segmentation, image registration, inverse problems and so on. Deep learning, PDE, statistical theory based research methods and techniques were discussed. The state-of-the-art developments on mathematical analysis, advanced modeling, efficient algorithm and applications were presented. The collected papers in this book also give new research trends in deep learning and optimization for imaging science. It should be a good reference for researchers working on related problems, as well as for researchers working on computer vision and visualization, inverse problems, image processing and medical imaging.
Book Synopsis Harmonic Analysis and Partial Differential Equations by : Alberto P. Calderón
Download or read book Harmonic Analysis and Partial Differential Equations written by Alberto P. Calderón and published by University of Chicago Press. This book was released on 1999 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Alberto P. Calderón (1920-1998) was one of this century's leading mathematical analysts. His contributions, characterized by great originality and depth, have changed the way researchers approach and think about everything from harmonic analysis to partial differential equations and from signal processing to tomography. In addition, he helped define the "Chicago school" of analysis, which remains influential to this day. In 1996, more than 300 mathematicians from around the world gathered in Chicago for a conference on harmonic analysis and partial differential equations held in Calderón's honor. This volume originated in papers given there and presents timely syntheses of several major fields of mathematics as well as original research articles contributed by some of the finest scholars working in these areas. An important addition to the literature, this book is essential reading for researchers in these and other related fields.
