Measure and Integration

• Main Authors: Shirali, Satish (Author, http://id.loc.gov/vocabulary/relators/aut), Vasudeva, Harkrishan Lal (http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Undergraduate Mathematics Series,
• Subjects: Measure theory.; Functions of real variables.; Fourier analysis.; Functional analysis.; Measure and Integration.; Real Functions.; Fourier Analysis.; Functional Analysis.

This textbook provides a thorough introduction to measure and integration theory, fundamental topics of advanced mathematical analysis. Proceeding at a leisurely, student-friendly pace, the authors begin by recalling elementary notions of real analysis before proceeding to measure theory and Lebesgu...

Table of Contents:

• 1 Preliminaries
• 2 Measure in Euclidean Space
• 3 Measure Spaces and Integration
• 4 Fourier Series
• 5 Differentiation
• 6 Lebesgue Spaces and Modes of Convergence
• 7 Product Measure and Completion
• 8 Hints
• References
• Index.