Singular Quadratic Forms in Perturbation Theory
Autor Volodymyr Koshmanenkoen Limba Engleză Hardback – 30 apr 1999
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Specificații
ISBN-13: 9780792356257
ISBN-10: 079235625X
Pagini: 324
Ilustrații: VIII, 312 p.
Dimensiuni: 160 x 241 x 23 mm
Greutate: 0.65 kg
Ediția:1999
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 079235625X
Pagini: 324
Ilustrații: VIII, 312 p.
Dimensiuni: 160 x 241 x 23 mm
Greutate: 0.65 kg
Ediția:1999
Editura: Springer
Locul publicării:Dordrecht, Netherlands
Public țintă
ResearchCuprins
1. Quadratic Forms and Linear Operators.- 1. Preliminary Facts about Quadratic Forms.- 2. Closed and Closable Quadratic Forms.- 3. Operator Representations of Quadratic Forms.- 4. Quadratic Forms in the Theory of Self-Adjoint Extensions of Symmetric Operators.- 2. Singular Quadratic Forms.- 5. Definition of Singular Quadratic Forms.- 6. Properties of Singular Quadratic Forms.- 7. Operator Representation of Singular Quadratic Forms.- 8. Singular Quadratic Forms in the A-Scale of Hilbert Spaces.- 9. Regularization.- 3. Singular Perturbations of Self-Adjoint Operators.- 10. Rank-One Singular Perturbations.- 11. Singular Perturbations of Finite Rank.- 12. Method of Self-Adjoint Extensions.- 13. Powers of Singularly Perturbed Operators.- 14. Method of Orthogonal Extensions.- 15. Approximations.- 4. Applications to Quantum Field Theory.- 16. Singular Properties of Wick Monomials.- 17. Orthogonally Extended Fock Space.- 18. Scattering and Spectral Problems.- References.- Notation.
Recenzii
` ...this text is a valuable contribution to the literature on the abstract aspects of singular perturbation theory.'
Mathematical Reviews, 2001a
Mathematical Reviews, 2001a