Spaces of Approximating Functions with Haar-like Conditions

Spaces of Approximating Functions with Haar-like Conditions PDF Author: Kazuaki Kitahara
Publisher: Springer
ISBN: 3540484043
Category : Mathematics
Languages : en
Pages : 119

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Book Description
Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra.

Spaces of Approximating Functions with Haar-Like Conditions

Spaces of Approximating Functions with Haar-Like Conditions PDF Author: Kazuaki Kitahara
Publisher:
ISBN: 9783662206386
Category :
Languages : en
Pages : 124

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Book Description


Spaces of Approximating Functions with Haar-like Conditions

Spaces of Approximating Functions with Haar-like Conditions PDF Author: Kazuaki Kitahara
Publisher: Springer
ISBN: 3540484043
Category : Mathematics
Languages : en
Pages : 119

Get Book

Book Description
Tchebycheff (or Haar) and weak Tchebycheff spaces play a central role when considering problems of best approximation from finite dimensional spaces. The aim of this book is to introduce Haar-like spaces, which are Haar and weak Tchebycheff spaces under special conditions. It studies topics of subclasses of Haar-like spaces, that is, classes of Tchebycheff or weak Tchebycheff spaces, spaces of vector-valued monotone increasing or convex functions and spaces of step functions. The notion of Haar-like spaces provides a general point of view which includes the theories of approximation from the above spaces. The contents are largely new. Graduate students and researchers in approximation theory will be able to read this book with only basic knowledge of analysis, functional analysis and linear algebra.

An Introduction to Analysis on Wiener Space

An Introduction to Analysis on Wiener Space PDF Author: Ali S. Üstünel
Publisher: Springer
ISBN: 3540446621
Category : Mathematics
Languages : en
Pages : 103

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Book Description
This book gives the basis of the probabilistic functional analysis on Wiener space, developed during the last decade. The subject has progressed considerably in recent years thr- ough its links with QFT and the impact of Stochastic Calcu- lus of Variations of P. Malliavin. Although the latter deals essentially with the regularity of the laws of random varia- bles defined on the Wiener space, the book focuses on quite different subjects, i.e. independence, Ramer's theorem, etc. First year graduate level in functional analysis and theory of stochastic processes is required (stochastic integration with respect to Brownian motion, Ito formula etc). It can be taught as a 1-semester course as it is, or in 2 semesters adding preliminaries from the theory of stochastic processes It is a user-friendly introduction to Malliavin calculus!

Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures

Riemannian Metrics of Constant Mass and Moduli Spaces of Conformal Structures PDF Author: Lutz Habermann
Publisher: Springer Science & Business Media
ISBN: 9783540679875
Category : Mathematics
Languages : en
Pages : 136

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Book Description
This monograph deals with recent questions of conformal geometry. It provides in detail an approach to studying moduli spaces of conformal structures, using a new canonical metric for conformal structures. This book is accessible to readers with basic knowledge in differential geometry and global analysis. It addresses graduates and researchers.

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces

Generalized Heisenberg Groups and Damek-Ricci Harmonic Spaces PDF Author: Jürgen Berndt
Publisher: Springer
ISBN: 3540491716
Category : Mathematics
Languages : en
Pages : 135

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Book Description
Generalized Heisenberg groups, or H-type groups, introduced by A. Kaplan, and Damek-Ricci harmonic spaces are particularly nice Lie groups with a vast spectrum of properties and applications. These harmonic spaces are homogeneous Hadamard manifolds containing the H-type groups as horospheres. These notes contain a thorough study of their Riemannian geometry by means of a detailed treatment of their Jacobi vector fields and Jacobi operators. Some problems are included and will hopefully stimulate further research on these spaces. The book is written for students and researchers, assuming only basic knowledge of Riemannian geometry, and it contains a brief survey of the background material needed to follow the entire treatment.

Cellular Spaces, Null Spaces and Homotopy Localization

Cellular Spaces, Null Spaces and Homotopy Localization PDF Author: Emmanuel Farjoun
Publisher: Springer Science & Business Media
ISBN: 9783540606048
Category : Mathematics
Languages : en
Pages : 220

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Book Description
In this monograph we give an exposition of some recent development in homotopy theory. It relates to advances in periodicity in homotopy localization and in cellular spaces. The notion of homotopy localization is treated quite generally and encompasses all the known idempotent homotopy functors. It is applied to K-theory localizations, to Morava-theories, to Hopkins-Smith theory of types. The method of homotopy colimits is used heavily. It is written with an advanced graduate student in topology and research homotopy theorist in mind.

Seminaire de Probabilites XXIX

Seminaire de Probabilites XXIX PDF Author: Jacques Azema
Publisher: Springer
ISBN: 354044744X
Category : Mathematics
Languages : en
Pages : 337

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Book Description
All the papers included in this volume are original research papers. They represent an important part of the work of French probabilists and colleagues with whom they are in close contact throughout the world. The main topics of the papers are martingale and Markov processes studies.

The Red Book of Varieties and Schemes

The Red Book of Varieties and Schemes PDF Author: David Mumford
Publisher: Springer
ISBN: 3540460217
Category : Mathematics
Languages : en
Pages : 314

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Book Description
Mumford's famous "Red Book" gives a simple, readable account of the basic objects of algebraic geometry, preserving as much as possible their geometric flavor and integrating this with the tools of commutative algebra. It is aimed at graduates or mathematicians in other fields wishing to quickly learn aboutalgebraic geometry. This new edition includes an appendix that gives an overview of the theory of curves, their moduli spaces and their Jacobians -- one of the most exciting fields within algebraic geometry.

The Minnesota Notes on Jordan Algebras and Their Applications

The Minnesota Notes on Jordan Algebras and Their Applications PDF Author: Max Koecher
Publisher: Springer Science & Business Media
ISBN: 9783540663607
Category : Mathematics
Languages : en
Pages : 198

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Book Description
This volume contains a re-edition of Max Koecher's famous Minnesota Notes. The main objects are homogeneous, but not necessarily convex, cones. They are described in terms of Jordan algebras. The central point is a correspondence between semisimple real Jordan algebras and so-called omega-domains. This leads to a construction of half-spaces which give an essential part of all bounded symmetric domains. The theory is presented in a concise manner, with only elementary prerequisites. The editors have added notes on each chapter containing an account of the relevant developments of the theory since these notes were first written.

Gorenstein Dimensions

Gorenstein Dimensions PDF Author: Lars W. Christensen
Publisher: Springer Science & Business Media
ISBN: 9783540411321
Category : Mathematics
Languages : en
Pages : 220

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Book Description
This book is intended as a reference for mathematicians working with homological dimensions in commutative algebra and as an introduction to Gorenstein dimensions for graduate students with an interest in the same. Any admirer of classics like the Auslander-Buchsbaum-Serre characterization of regular rings, and the Bass and Auslander-Buchsbaum formulas for injective and projective dimension of f.g. modules will be intrigued by this book's content. Readers should be well-versed in commutative algebra and standard applications of homological methods. The framework is that of complexes, but all major results are restated for modules in traditional notation, and an appendix makes the proofs accessible for even the casual user of hyperhomological methods.