H P Superscript Spaces Of An Annulus
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H P Superscript Spaces Of An Annulus
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Author : Donald Sarason
language : en
Publisher:
Release Date : 1965
H P Superscript Spaces Of An Annulus written by Donald Sarason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Hilbert space categories.
The Hp Spaces Of An Annulus
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Author : Donald Sarason
language : en
Publisher:
Release Date : 1965
The Hp Spaces Of An Annulus written by Donald Sarason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with Automorphic functions categories.
This paper consists of two parts. The first part is concerned with the basic properties of [italic capital]H[superscript italic]p spaces of a circular annulus, and is function theoretic in character. The second part is an investigation of the invariant subspaces of certain Hilbert space operators, and is functional analytic in character. The questions considered in Part II provided the original motivation for the study that occupies Part I.
Hp Superscript Spaces In Poly Half Spaces
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Author : Kent George Merryfield
language : en
Publisher:
Release Date : 1980
Hp Superscript Spaces In Poly Half Spaces written by Kent George Merryfield and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with H-spaces categories.
Theory Of H Superscript P Spaces
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Author :
language : en
Publisher: Academic Press
Release Date : 1970-07-31
Theory Of H Superscript P Spaces written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970-07-31 with Mathematics categories.
The theory of HP spaces has its origins in discoveries made forty or fifty years ago by such mathematicians as G. H. Hardy, J. E. Littlewood, I. I. Privalov, F. and M. Riesz, V. Smirnov, and G. Szego. Most of this early work is concerned with the properties of individual functions of class HP, and is classical in spirit. In recent years, the development of functional analysis has stimulated new interest in the HP classes as linear spaces. This point of viewhas suggested a variety of natural problems and has provided new methods of attack, leading to important advances in the theory. This book is an account of both aspects of the subject, the classical and the modern. It is intended to provide a convenient source for the older parts of the theory (the work of Hardy and Littlewood, for example), as well as to give a self-contained exposition of more recent developments such as Beurling’s theorem on invariant subspaces, the Macintyre-RogosinskiShapiro-Havinson theory of extremal problems, interpolation theory, the dual space structure of HP with p
The Hp Spaces Of An Annulus
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Author : Donald Sarason
language : en
Publisher:
Release Date :
The Hp Spaces Of An Annulus written by Donald Sarason and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
The Homology Of Iterated Loop Spaces
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Author : F. R. Cohen
language : en
Publisher: Springer
Release Date : 2007-01-05
The Homology Of Iterated Loop Spaces written by F. R. Cohen and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-05 with Mathematics categories.
Differential Forms In Algebraic Topology
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Author : Raoul Bott
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
Differential Forms In Algebraic Topology written by Raoul Bott and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes. By using the de Rham theory of differential forms as a prototype of cohomology, the machineries of algebraic topology are made easier to assimilate. With its stress on concreteness, motivation, and readability, this book is equally suitable for self-study and as a one-semester course in topology.
Computational Topology
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Author : Herbert Edelsbrunner
language : en
Publisher: American Mathematical Society
Release Date : 2022-01-31
Computational Topology written by Herbert Edelsbrunner and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-31 with Mathematics categories.
Combining concepts from topology and algorithms, this book delivers what its title promises: an introduction to the field of computational topology. Starting with motivating problems in both mathematics and computer science and building up from classic topics in geometric and algebraic topology, the third part of the text advances to persistent homology. This point of view is critically important in turning a mostly theoretical field of mathematics into one that is relevant to a multitude of disciplines in the sciences and engineering. The main approach is the discovery of topology through algorithms. The book is ideal for teaching a graduate or advanced undergraduate course in computational topology, as it develops all the background of both the mathematical and algorithmic aspects of the subject from first principles. Thus the text could serve equally well in a course taught in a mathematics department or computer science department.
The Topological Classification Of Stratified Spaces
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Author : Shmuel Weinberger
language : en
Publisher: University of Chicago Press
Release Date : 1994
The Topological Classification Of Stratified Spaces written by Shmuel Weinberger and has been published by University of Chicago Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
This book provides the theory for stratified spaces, along with important examples and applications, that is analogous to the surgery theory for manifolds. In the first expository account of this field, Weinberger provides topologists with a new way of looking at the classification theory of singular spaces with his original results. Divided into three parts, the book begins with an overview of modern high-dimensional manifold theory. Rather than including complete proofs of all theorems, Weinberger demonstrates key constructions, gives convenient formulations, and shows the usefulness of the technology. Part II offers the parallel theory for stratified spaces. Here, the topological category is most completely developed using the methods of "controlled topology." Many examples illustrating the topological invariance and noninvariance of obstructions and characteristic classes are provided. Applications for embeddings and immersions of manifolds, for the geometry of group actions, for algebraic varieties, and for rigidity theorems are found in Part III. This volume will be of interest to topologists, as well as mathematicians in other fields such as differential geometry, operator theory, and algebraic geometry.
Lectures On Algebraic Topology
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Author : Haynes R Miller
language : en
Publisher: World Scientific
Release Date : 2021-09-20
Lectures On Algebraic Topology written by Haynes R Miller and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-09-20 with Mathematics categories.
Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of backgrounds, but gains pace as the course progresses, and by the end the student has a command of all the basic techniques of classical homotopy theory.