1.

Record Nr.

UNINA9910453343703321

Autore

Kantorovitz Shmuel <1935->

Titolo

Introduction to modern analysis [[electronic resource] /] / Shmuel Kantorovitz

Pubbl/distr/stampa

Oxford, : Oxford University Press, 2006

ISBN

1-280-90428-3

0-19-152355-0

Descrizione fisica

1 online resource (447 p.)

Collana

Oxford mathematics

Oxford graduate texts in mathematics ; ; no. 8

Disciplina

515

Soggetti

Mathematical analysis

Probabilities

Electronic books.

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

Originally published: 2003.

Nota di bibliografia

Includes bibliographical references and index.

Nota di contenuto

Contents; 1 Measures; 2 Construction of measures; 3 Measure and topology; 4 Continuous linear functionals; 5 Duality; 6 Bounded operators; 7 Banach algebras; 8 Hilbert spaces; 9 Integral representation; 10 Unbounded operators; Application I: Probability; Application II: Distributions; Bibliography; Index

Sommario/riassunto

This new-in-paperback edition provides a comprehensive course in Modern Analysis. The first 10 chapters discuss theoretical methods in Measure Theory and Functional Analysis, and contain over 120 end of chapter exercises. The final two chapters apply theory to applications in Probability Theory and Partial Differential Equations. - ;This new-in-paperback text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure Theory, Functional Analysis, Banach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability