Hilbert Space Methods for Partial Differential Equations
by R. E. Showalter
Publisher: Pitman 1994
Number of pages: 208
The text for beginning graduate students of mathematics, engineering, and the physical sciences. The book covers elements of Hilbert space, distributions and Sobolev spaces, boundary value problems, first order evolution equations, implicit evolution equations, second order evolution equations, optimization and approximation topics.
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by Javier Bernal - arXiv.org
As shape analysis is intricately related to Lebesgue integration and absolute continuity, it is advantageous to have a good grasp of the two notions. We review basic concepts and results about Lebesgue integration and absolute continuity.
by John Erdos - King's College, London
These notes form an introductory account of C*-algebras. Some results on more general commutative Banach algebras, whose proofs require little extra effort, are included. There are accounts of two applications of the commutative theory ...
by Leif Mejlbro - BookBoon
Spectral Theory - Functional Analysis Examples. Contents: Spectrum and resolvent; The adjoint of a bounded operator; Self adjoint operator; Isometric operators; Unitary and normal operators; Positive operators and projections; Compact operators.
by Palle Jorgensen, Feng Tian - arXiv
This book at the beginning graduate level will help students with primary interests elsewhere to acquire a facility with tools of a functional analytic flavor, say in harmonic analysis, numerical analysis, stochastic processes, or in physics.