Introduction to Hilbert Spaces with Applications

Name: Introduction to Hilbert Spaces with Applications
Price: 38.25 USD
Availability: InStock
ISBN: 9780122084355

ISBN-10: 0122084357

ISBN-13: 9780122084355

Edition: 1990

Authors: Lokenath Debnath, Piotr Mikusinski

List price: $65.00

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Description:

This book provides the reader with a systematic exposition of the basic ideas and results of Hilbert space theory and functional analysis with diverse applications to differential and integral equations. The Hilbert space formalism is used to develop the foundation of quantum mechanics and the Hilbert space methods are applied to optimization, variational, and control problems and to problems in approximation theory, nonlinear instablity, and bifurcation. Another attractive feature is a simple introduction to the Lebesgue integral. It is intended for senior undergraduate and graduate courses in Hilbert space and functional analysis with applications for students in mathematics, physics, and…

Book details

List price: $65.00
Copyright year: 1990
Publisher: Elsevier Science & Technology Books
Publication date: 5/28/1990
Binding: Hardcover
Pages: 508
Size: 6.50" wide x 9.25" long x 1.00" tall
Weight: 1.936
Language: English



Normed Vector Spaces


The Lebesgue Integral


Hilbert Spaces and Orthonormal Systems


Linear Operators in Hilbert Spaces


Applications


Applications to Integral and Differential Equations


Generalized Functions and Partial Differential Equations


Mathematical Foundations of Quantum Mechanics


Optimization Problems and Other Miscellaneous Applications


Hints and Answers to Selected Exercises


Bibliography


List of Symbols


Index