Measure and Integration

Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-80480-4
Verlag: Springer International Publishing

Buch, Englisch, 300 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 4745 g

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.                

Zielgruppe

Graduate

Autoren/Hrsg.

Bercovici, Hari

Pearcy, Carl

Brown, Arlen

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Reelle Analysis

Inhaltsverzeichnis

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.

Über Autor(innen)

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.