Groupoid metrization theory with applications to analysis on quasi-metric spaces and functional analysis Dorina Mitrea [and others]

Format:

Book

Contributor:

Mitrea, Dorina, 1965-

Series:

Applied and numerical harmonic analysis

Language:

English

Subjects (All):

Groupoids.

Harmonic analysis.

Functional analysis.

Fourier Analysis.

Medical Subjects:

Fourier Analysis.

Physical Description:

1 online resource

Place of Publication:

New York Birkhäuser ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

The topics in this research monograph are at the interface of several areas of mathematics such as harmonic analysis, functional analysis, analysis on spaces of homogeneous type, topology, and quasi-metric geometry. The presentation is self-contained with complete, detailed proofs, and a large number of examples and counterexamples are provided. Unique features of Metrization Theory for Groupoids: With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis include:* treatment of metrization from a wide, interdisciplinary perspective, with accompanying applications ranging across diverse fields;* coverage of topics applicable to a variety of scientific areas within pure mathematics;* useful techniques and extensive reference material; * includes sharp results in the field of metrization. Professional mathematicians with a wide spectrum of mathematical interests will find this book to be a useful resource and complete self-study guide. At the same time, the monograph is accessible and will be of use to advanced graduate students and to scientifically trained readers with an interest in the interplay among topology and metric properties and/or functional analysis and metric properties

Contents:

Introduction Semigroupoids and Groupoids Quantitative Metrization Theory Applications to Analysis on Quasimetric Spaces Nonlocally Convex Functional Analysis Functional Analysis on Quasi-Pseudonormed Groups

Notes:

Includes bibliographical references and indexes

Other Format:

Print version Mitrea, Dorina. Groupoid Metrization Theory : With Applications to Analysis on Quasi-Metric Spaces and Functional Analysis

ISBN:

9780817683979

0817683976

1299542697

9781299542693

OCLC:

823604654

Access Restriction:

Restricted for use by site license