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Functional Analysis, Spectral Theory, and Applications (Graduate Texts in Mathematics (276)) by Manfred Einsiedler, Thomas Ward is a nonfiction available to read on EtoBox.

What is Functional Analysis, Spectral Theory, and Applications (Graduate Texts in Mathematics (276)) about?

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.-- Motivation -- Norms And Banach Spaces -- Hilbert Spaces, Fourier Series, Unitary Representations -- Uniform Boundedness And Open Mapping Theorem -- Sobolev Spaces And Dirichlet's Boundary Problem -- Compact Self-adjoint Operators, Laplace Eigenfunctions -- Dual Spaces -- L

Who reads Functional Analysis, Spectral Theory, and Applications (Graduate Texts in Mathematics (276))?

Author

Manfred Einsiedler, Thomas Ward

Publisher

Springer International Publishing Imprint : Springer

Published

2017

Language

EN

ISBN

9783319585390

Category

nonfiction

Subjects

Mathematics, Science, Stem