Integration and Modern Analysis

• Κύριοι συγγραφείς: Benedetto, John J. (Συγγραφέας), Czaja, Wojciech (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Boston : Birkhäuser Boston, 2009.
• Σειρά: Birkhäuser Advanced Texts / Basler Lehrbücher
• Θέματα: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

A paean to twentieth century analysis, this modern text has several important themes and key features which set it apart from others on the subject. A major thread throughout is the unifying influence of the concept of absolute continuity on differentiation and integration. This leads to fundamental...

Πίνακας περιεχομένων:

• Classical Real Variables
• Lebesgue Measure and General Measure Theory
• The Lebesgue Integral
• The Relationship between Differentiation and Integration on
• Spaces of Measures and the Radon#x2013;Nikodym Theorem
• Weak Convergence of Measures
• Riesz Representation Theorem
• Lebesgue Differentiation Theorem on
• Self-Similar Sets and Fractals
• Functional Analysis
• Fourier Analysis.