Spectral Theory and Differential Operators
Spectral Theory and Differential Operators by David Eric Edmunds is a comprehensive exploration of the theory of bounded and closed linear operators in Banach and Hilbert spaces, particularly as it relates to spectral problems involving differential equations. Published by Oxford University Press in 2018, this second edition spans 589 pages and is presented in English. It serves as an updated version of the classic 1987 monograph, making it suitable for both graduate students and experienced researchers in mathematics and mathematical physics.
Readers will find that this edition not only corrects various errors from the original text but also includes extensive notes at the end of each chapter. These notes detail the significant advancements in the field over the past three decades, providing valuable context for contemporary research. The book covers essential topics in mathematics, including algebra, calculus, and functional analysis, making it a relevant resource for those interested in the latest developments in spectral theory and its applications.
Official synopsis Publisher
This book is an updated version of the classic 1987 monograph “Spectral Theory and Differential Operators”.The original book was a cutting edge account of the theory of bounded and closed linear operators in Banach and Hilbert spaces relevant to spectral problems involving differential equations.
It is accessible to a graduate student as well as meeting the needs of seasoned researchers in mathematics and mathematical physics.
This revised edition corrects various errors, and adds extensive notes to the end of each chapter which describe the considerable progress that has been made on the topic in the last 30 years.
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