scholarly journals Uniform Convergence of the Eigenfunction Expansions of Distributions Associated with the Polyharmonic Operator on Closed Domain

2017 ◽  
Vol 949 ◽  
pp. 012024 ◽  
Author(s):  
Abdumalik Rakhimov ◽  
Siti Nor Aini Mohd Aslam
Keyword(s):  
Uniform Convergence ◽  
Closed Domain ◽  
Polyharmonic Operator ◽  
Eigenfunction Expansions

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

Filomat ◽  
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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