Measure and Integration: A First Course

ISBN-13: 9780367348397 / Angielski / Twarda / 2019 / 203 str.

M. Thamban Nair

Opis

The concepts from the theory of measure and integration are vital to any advanced course in analysis specifically in the applications of functional analysis to other areas such as harmonic analysis, partial differential equations, and integral equations. The book is meant for a one-semester course for the graduates of mathematics.

Spis treści

Preface. Note to the Reader. Review of Riemann Integral. Lebesgue Measure. Measure and Measurable Functions. Integral of Positive Measurable Functions. Integral of Complex Measurable Functions. Integration on Product Spaces. Fourier Transform. References. Index.