Eigenfunction expansions for the Schrödinger operator

Arkiv för matematik ◽

10.1007/bf02385841 ◽

1976 ◽

Vol 14 (1-2) ◽

pp. 277-287

Author(s):

Martin Schechter

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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On eigenfunction expansions of piecewise smooth functions, associated with the power of the Schrödinger operator

Applicable Analysis ◽

10.1080/00036810903043255 ◽

2009 ◽

Vol 88 (6) ◽

pp. 937-945

Author(s):

Ravshan Ashurov ◽

Sanjar Karaev

Keyword(s):

Schrödinger Operator ◽

Piecewise Smooth ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

Smooth Functions ◽

Piecewise Smooth Functions

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Conditions for uniformly convergence of expansions of continuous functions from Nikolskii classes in eigenfunction expansions of the Schrödinger operator on closed domain

10.1063/1.4893801 ◽

2014 ◽

Author(s):

Nur Amalina Binti Jamaludin ◽

Anvarjon Ahmedov

Keyword(s):

Schrödinger Operator ◽

Continuous Functions ◽

Closed Domain ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

Uniformly Convergence

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Eigenfunction Expansions Associated with the One-dimensional Schrödinger Operator

Operator Methods in Mathematical Physics ◽

10.1007/978-3-0348-0531-5_4 ◽

2012 ◽

pp. 89-105 ◽

Author(s):

Daphne J. Gilbert

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

One Dimensional ◽

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Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering theory

Publications of the Research Institute for Mathematical Sciences ◽

10.2977/prims/1195194884 ◽

1968 ◽

Vol 4 (2) ◽

pp. 419-466 ◽

Author(s):

Kiyoshi Mochizuki

Keyword(s):

Schrödinger Operator ◽

Complex Potential ◽

Scattering Theory ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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On the eigenfunction expansions associated with the Schrödinger operator having spherically symmetrical potential

Acta Mathematica Hungarica ◽

10.1007/bf01960556 ◽

1983 ◽

Vol 42 (1-2) ◽

pp. 121-129 ◽

Author(s):

Š. A. Alimov ◽

I. Joó

Keyword(s):

Schrödinger Operator ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

Symmetrical Potential

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Eigenfunction expansions associated with the Schrödinger operator with a complex potential and the scattering inverse problem

Proceedings of the Japan Academy ◽

10.3792/pja/1195521524 ◽

1967 ◽

Vol 43 (7) ◽

pp. 638-643 ◽

Author(s):

Kiyoshi Mochizuki

Keyword(s):

Inverse Problem ◽

Schrödinger Operator ◽

Complex Potential ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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On Eigenfunction Expansions Associated with the Schrodinger Operator with a Singular Potential

Differential Equations ◽

10.1007/s10625-005-0156-8 ◽

2005 ◽

Vol 41 (2) ◽

pp. 254-263 ◽

Author(s):

R. R. Ashurov ◽

Yu. E. Faiziev

Keyword(s):

Schrödinger Operator ◽

Singular Potential ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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The summability of eigenfunction expansions connected with Schrödinger operator for the functions from Nikolskii classes, H2α(Ω¯) on closed domain

10.1063/1.5041536 ◽

2018 ◽

Author(s):

Nur Amalina Binti Jamaludin ◽

Anvarjon Ahmedov

Keyword(s):

Schrödinger Operator ◽

Closed Domain ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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The Uniform Convergence of Eigenfunction Expansions of Schrödinger Operator in the Nikolskii Classes ${H}_{p}^{\alpha }(\bar{\Omega })$

Journal of Physics Conference Series ◽

10.1088/1742-6596/890/1/012051 ◽

2017 ◽

Vol 890 ◽

pp. 012051

Author(s):

N. A Jamaludin ◽

A Ahmedov

Keyword(s):

Uniform Convergence ◽

Schrödinger Operator ◽

Schrodinger Operator ◽

Eigenfunction Expansions

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On the Riesz summability of the eigenfunction expansions on a closed domain

Filomat ◽

10.2298/fil1916199r ◽

2019 ◽

Vol 33 (16) ◽

pp. 5199-5205

Author(s):

Abdumalik Rakhimov ◽

Erkin Saydamatov ◽

Shuhrat Sheraliev

Keyword(s):

Boundary Value Problem ◽

Schrödinger Operator ◽

Singular Potential ◽

Boundary Value ◽

Closed Domain ◽

Schrodinger Operator ◽

Eigenfunction Expansions ◽

Riesz Summability

In the present paper we study the Riesz summability on a closed domain expansions in eigenfunctions of the first boundary value problem for the Schrodinger operator with a weak singular potential.

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