Measure and Integration

This book covers the material of a one year course in real analysis.  It includes an original axiomatic approach to Lebesgue integration which the authors have found to be effective in the classroom.  Each chapter contains numerous examples and an extensive problem set which expands considerably the breadth of the material covered in the text.  Hints are included for some of the more difficult problems.                

Table des matières

Rings of sets.- Measurability.- Integrals and Measures.- Convergence Theorems for Lebesgue Integrals.- Existence and Uniqueness of Measures.- Signed Measures, Complex Measures and Absolute Continuity.- Measure and Topology.- Product Measures.- The Lp Spaces.- Fourier Analysis.- Standard Measure Spaces.              

A propos de l'auteur

Hari Bercovici is a Professor in the Department of Mathematics at Indiana University Bloomington.  His research interests include functional analysis, operator theory, and free probability.
Carl Pearcy is an Emeritus Professor in Mathematics at Texas A&M University. His research interest is in functional analysis.                     

Résumé

                 

Texte suppl.

“The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones.” (Oscar Blasco, zbMATH 1337.28001, 2016)

Commentaire

"The book is a perfect introduction for graduate students into the theory of measure and Lebesgue integration. It is written in a very pedagogical way providing in each chapter many examples and a long collection of problems with a number of hints for the more challenging ones." (Oscar Blasco, zbMATH 1337.28001, 2016)

Détails du produit

• Auteurs: Har Bercovici, Hari Bercovici, Arle Brown, Arlen Brown, Carl Pearcy
• Edition: Springer, Berlin
• Langues: Anglais
• Format d'édition: Livre Relié
• Sortie: 01.01.2016
• EAN: 9783319290447
• ISBN: 978-3-31-929044-7
• Pages: 300
• Dimensions: 156 mm x 242 mm x 23 mm
• Poids: 624 g
• Illustrations: XI, 300 p.
• Catégories: Sciences naturelles, médecine, informatique, technique > Mathématiques > Analyse; B, Reelle Analysis, Real-Variablen, measure theory, Mathematics and Statistics, Real Functions, Functions of real variables, Measure and Integration, Real analysis, real variables, Fourier series, Standard measure space, Functional algebra, Maximal function