Mathematical Analysis and Numerical Methods for Science and Technology Volume 3 Spectral Theory and Applications / by Robert Dautray, Jacques-Louis Lions.

The advent of high-speed computers has made it possible for the first time to calculate values from models accurately and rapidly. Researchers and engineers thus have a crucial means of using numerical results to modify and adapt arguments and experiments along the way. Every facet of technical and...

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Bibliographic Details
Main Authors: Dautray, Robert (Author), Lions, Jacques-Louis (Author)
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2000.
Edition:1st ed. 2000.
Series:Springer eBook Collection.
Subjects:
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • VIII. Spectral Theory
  • Appendix. “Krein-Rutman Theorem”*
  • IX. Examples in Electromagnetism and Quantum Physics*
  • A. Examples in Electromagnetism
  • B. Examples in Quantum Physics
  • Appendix. Some Spectral Notions
  • 2. “Continuous Operational Calculus” for a (Bounded) Normal Operator
  • 3. “Continuous Operational Calculus” for an (Unbounded) Self-Adjoint Operator
  • 4. Simultaneous Spectrum of a Commutative Family of (Bounded) Normal Operators
  • 8. von Neumann Algebras
  • 9. “Bounded Operational Calculus”
  • 10. Maximal Commutative von Neumann Algebras
  • 11. “Maximal” Spectral Decomposition. “Complete Family of Observables which Commute”
  • Table of Notations
  • of Volumes 1, 2, 4–6.