Course In Analysis, A - Vol V: Functional Analysis, Some Operator Theory, Theory Of Distributions
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A01=Kristian P Evans
A01=Niels Jacob
Author_Kristian P Evans
Author_Niels Jacob
Bilinear Forms and Lax-milgram Theorem
Bilinear Forms and LaxAcAEURA"milgram Theorem
Bilinear Forms and Lax–milgram Theorem
Bounded and Unbounded Linear Operators
Category=PBKF
Choquet Theory
Closed Graph Theorem
Convex Analysis
Distributions in the Sense of L Schwartz
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
Fourier Transform of Tempered Distributions
Functional Analysis
Fundamental Solutions and Hypoellipticity
Hahn-Banach Theorems
HahnAcAEURA"Banach Theorems
Hahn–Banach Theorems
Hilbert-Schmidt Operators
HilbertAcAEURA"Schmidt Operators
Hilbert–Schmidt Operators
Integral Operators
Interpolation Spaces
Kernel Theorem of L Schwartz
Krein-Milman Theorem
KreinAcAEURA"Milman Theorem
Krein–Milman Theorem
Markovian Semigroups
One-Parameter Semigroups of Operators
OneAcAEURA"Parameter Semigroups of Operators
One–Parameter Semigroups of Operators
Open Mapping Theorem
Peter-Weyl Theorem
PeterAcAEURA"Weyl Theorem
Peter–Weyl Theorem
Riesz-Thorin and Marchinkiewicz Theorem
RieszAcAEURA"Thorin and Marchinkiewicz Theorem
Riesz–Thorin and Marchinkiewicz Theorem
Self-Adjoint Operators
Spectral Theory
Sturm-Liouville Problems
SturmAcAEURA"Liouville Problems
Sturm–Liouville Problems
Topological Vector Spaces
Unitary Representations Of Groups
Product details
- ISBN 9789811216336
- Publication Date: 23 Mar 2020
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Paperback
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The book is an advanced textbook and a reference text in functional analysis in the wide sense. It provides advanced undergraduate and graduate students with a coherent introduction to the field, i.e. the basic principles, and leads them to more demanding topics such as the spectral theorem, Choquet theory, interpolation theory, analysis of operator semigroups, Hilbert-Schmidt operators and Hille-Tamarkin operators, topological vector spaces and distribution theory, fundamental solutions, or the Schwartz kernel theorem.All topics are treated in great detail and the text provided is suitable for self-studying the subject. This is enhanced by more than 270 problems solved in detail. At the same time the book is a reference text for any working mathematician needing results from functional analysis, operator theory or the theory of distributions.Embedded as Volume V in the Course of Analysis, readers will have a self-contained treatment of a key area in modern mathematics. A detailed list of references invites to further studies.
