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Functional Analysis, Spectral Theory, and Applications
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Functional Analysis, Spectral Theory, and Applications Hardcover - 2017

by Manfred Einsiedler; Thomas Ward


From the publisher

Presents core material in functional analysis alongside several advanced topics

Includes over 400 exercises, with essential exercises marked as such

Gives a careful introduction to amenability, property (T), and expander graphs

Develops relatively advanced material in spectral theory, including a connection of the spectral theory of Banach algebras to the prime number theorem

From the rear cover

This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.

In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyl's law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Tao's approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study.

Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics.

Details

  • Title Functional Analysis, Spectral Theory, and Applications
  • Author Manfred Einsiedler; Thomas Ward
  • Binding Hardcover
  • Pages 614
  • Volumes 1
  • Language ENG
  • Publisher Springer
  • Date 2017
  • ISBN 9783319585390 / 3319585398
  • Weight 2.15 lbs (0.98 kg)
  • Dimensions 9.37 x 6.22 x 1.34 in (23.80 x 15.80 x 3.40 cm)
  • Dewey Decimal Code 512.7

About the author

Manfred Einsiedler studied mathematics at the University of Vienna and has been a Professor at the ETH Zrich since 2009. He was an invited speaker at the 2008 European Mathematical Congress in Amsterdam and the 2010 International Congress of Mathematicians in Hyderabad. His primary research area is ergodic theory with connections to number theory. In cooperation with Lindenstrauss and Katok, Einsiedler made significant progress towards the Littlewood conjecture.

Thomas Ward studied mathematics at the University of Warwick and is Deputy Vice-Chancellor for student education at the University of Leeds. He works in ergodic theory and number theory, and has written several monographs, including Heights of Polynomials and Entropy in Algebraic Dynamics with Graham Everest and Ergodic Theory: with a view towards Number Theory with Manfred Einsiedler.

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Functional Analysis, Spectral Theory, and Applications
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Functional Analysis, Spectral Theory, and Applications

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