Description
T and F CRC Measure And Integral: An Introduction To Real Analysis, Second Edition by Wheeden and R L
Now considered a classic text on the topic, Measure and Integral: An Introduction to Real Analysis provides an introduction to real analysis by first developing the theory of measure and integration in the simple setting of Euclidean space, and then presenting a more general treatment based on abstract notions characterized by axioms and with less geometric content. This widely used and highly respected text for upper-division undergraduate and first-year graduate students of mathematics, statistics, probability, or engineering is revised for a new generation of students and instructors. The book also serves as a handy reference for professional mathematicians.
Key Features:-
- Studies the Fourier transform of functions in the spaces L1, L2, and Lp, 1 < p < 2
- Shows the Hilbert transform to be a bounded operator on L2, as an application of the L2 theory of th
- Covers fractional integration and some topics related to mean oscillation properties of functions, s
- Derives a subrepresentation formula, which in higher dimensions plays a role roughly similar to the
- Extends the subrepresentation formula derived for smooth functions to functions with a weak gradient
- Proves the existence of a tangent plane to the graph of a Lipschitz function of several variables