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SELECTED LECTURES ON FUNCTIONAL ANALYSIS

By Dachun Yang, Wen Yuan

Product Image: SELECTED LECTURES ON FUNCTIONAL ANALYSIS

SELECTED LECTURES ON FUNCTIONAL ANALYSIS

By Dachun Yang, Wen Yuan

0 - Default Title
Description
The main aim of this book is to provide an advanced textbook on functional analysis, focusing on the functional calculus of operators. Based on basic knowledge of functional analysis on metric spaces and linear bounded operators, this book systematically introduces the spectral theory of operators and the theory of operator semigroups, including Banach algebras, spectral theories of both bounded and unbounded linear operators, as well as semigroups of operators. They play important roles in various areas of modern mathematics such as harmonic analysis, partial differential equations, probability and statistics, engineering science, quantum physics, and statistical mechanics.
This book provides rich examples and exercises, emphasizing the combination of the theory and examples to enhance readers' ability to apply functional analysis theory to solve related problems. Compared with many other functional analysis textbooks, this book focuses on the spectral theory and the operator semigroup theory, serving as an appropriate connection for functional analysis between undergraduate and graduate levels, making it an ideal textbook for both. It will also be a good reference book for researchers who are interested in modern analysis, such as functional analysis, harmonic analysis, and partial differential equations.
Product details
Number of Pages:
710
Release Date:
2025-05-25
Publication Date:
2025-05-25
Publisher:
World Scientific
Languages:
Original: English
ISBN10:
9819803519
ISBN13:
9789819803514
GPSR Manufacturer Reference:
[email protected]
Weight:
1162 g
Height:
157 cm
Width:
235 cm
Thickness:
42 cm
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