Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators

Method of Rigged Spaces in Singular Perturbation Theory of Self-Adjoint Operators

Koshmanenko, Nataliia; Koshmanenko, Volodymyr; Dudkin, Mykola

Birkhauser Verlag AG

05/2018

237

Mole

Inglês

9783319805924

15 a 20 dias

3985

Descrição não disponível.
Preface.- Introduction.- 1.Preliminaries.- 2.Symmetric Operators and Closable Quadratic Forms.- 3.Self-adjoint Extensions of Symmetric Operators.- 4.Rigged Hilbert Spaces.- 5.Singular Quadratic Forms.- 6.Dense Subspaces in Scales of Hilbert Spaces.- 7.Singular Perturbations of Self-adjoint Operators.- 8.Super-singular Perturbations.- 9.Some Aspects of the Spectral Theory.- References.- Subject Index.- Notation Index.
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densely embedded Hilbert space;rigged Hilbert space;self-adjoint operator;self-adjoint extension;singular quadratic form;singularly perturbed operator