1.

Record Nr.

UNINA9910254068003321

Autore

Bercovici Hari

Titolo

Measure and Integration / / by Hari Bercovici, Arlen Brown, Carl Pearcy

Pubbl/distr/stampa

Cham : , : Springer International Publishing : , : Imprint : Springer, , 2016

ISBN

3-319-29046-0

Edizione

[1st ed. 2016.]

Descrizione fisica

1 online resource (XI, 300 p.)

Disciplina

515.42

Soggetti

Measure theory

Functions of real variables

Measure and Integration

Real Functions

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Includes index.

Nota di contenuto

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. .

Sommario/riassunto

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. .