Functional Analysis, Spectral Theory, and Applications
-15%
portes grátis
Functional Analysis, Spectral Theory, and Applications
Ward, Thomas; Einsiedler, Manfred
Springer International Publishing AG
11/2017
614
Dura
Inglês
9783319585390
15 a 20 dias
Descrição não disponível.
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.- Locally Convex Vector Spaces.- Unitary Operators and Flows, Fourier Transform.- Locally Compact Groups, Amenability, Property (T).- Banach Algebras and the Spectrum.- Spectral Theory and Functional Calculus.- Self-Adjoint and Symmetric Operators.- The Prime Number Theorem.- Appendix A: Set Theory and Topology.- Appendix B: Measure Theory.- Hints for Selected Problems.- Notes.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
functional analysis;spectral theory of Banach algebras;Pontryagin duality;amenable groups;property (T);expander graph;elliptic regularity;Laplace operator;prime number theorem;measurable functional calculus;MSC 46-01, 47-01, 11N05, 20F69, 22B05, 35J25, 35P10, 35P20;ordinary differential equations;partial differential equations
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.- Locally Convex Vector Spaces.- Unitary Operators and Flows, Fourier Transform.- Locally Compact Groups, Amenability, Property (T).- Banach Algebras and the Spectrum.- Spectral Theory and Functional Calculus.- Self-Adjoint and Symmetric Operators.- The Prime Number Theorem.- Appendix A: Set Theory and Topology.- Appendix B: Measure Theory.- Hints for Selected Problems.- Notes.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
functional analysis;spectral theory of Banach algebras;Pontryagin duality;amenable groups;property (T);expander graph;elliptic regularity;Laplace operator;prime number theorem;measurable functional calculus;MSC 46-01, 47-01, 11N05, 20F69, 22B05, 35J25, 35P10, 35P20;ordinary differential equations;partial differential equations
