Shmuel Kantorovitz

Introduction to Modern Analysis

• Broschiertes Buch

Produktbeschreibung

This text is based on lectures given by the author at the advanced undergraduate and graduate levels in Measure theory, Functional Analysis, Bannach Algebras, Spectral Theory (of bounded and unbounded operators), Semigroups of Operators, Probability and Mathematical Statistics, and Partial Differential Equations. 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.

Produktdetails

• Oxford Graduate Texts in Mathe Nr.8
• Verlag: Sydney University Press
• Revised
• Seitenzahl: 448
• Erscheinungstermin: August 2006
• Englisch
• Abmessung: 234mm x 156mm x 24mm
• Gewicht: 676g
• ISBN-13: 9780199203154
• ISBN-10: 0199203156
• Artikelnr.: 21894547

Autorenporträt

Shmuel Kantorovitz received his Ph.D. from the University of Minnesota in 1962. After postdocs at Princeton University and the Institute for Advanced Study in Princeton, he took on an Assistant Professorship at Yale University, and became an Associate and then Full Professor at the University of Illinois in Chicago. He then returned to Israel to become a Full Professor at Bar-Ilan University, where he is now Professor Emeritus. Ami Viselter received his Ph.D. from Bar-Ilan University in 2009. After postdocs in the Technion - Israel Institute of Technology and at the University of Alberta, he became a faculty member at the University of Haifa, where he is currently a tenured Senior Lecturer.

Inhaltsangabe

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
11: C
-algebras
12: Von Neumann algebras
13: Constructions of C
-algebras
Application I
Probability
Application II
Distributions