The System of Root Functions is a Basis in a Problem with a Multiple Eigenvalue

2019 ◽  
Vol 30 (4) ◽  
pp. 321-325
Author(s):  
N. Yu. Kapustin
Keyword(s):  
Multiple Eigenvalue ◽  
Root Functions ◽  
System Of Root Functions

scholarly journals Riesz Inequality for the System of Root Functions of Second Order Ordinary Differential Operator

2020 ◽  
Vol 19 ◽  
Keyword(s):  
Differential Operator ◽  
Sufficient Conditions ◽  
Second Order ◽  
Ordinary Differential Operator ◽  
Root Functions ◽  
Riesz Property ◽  
System Of Root Functions ◽  
The Given ◽  
Riesz Inequality

An ordinary differential operator of second order with coefficients is considered. The Riesz property of the system of root functions of the given operator is studied. The criterion of Bessel property in 2 L , of root functions system is established and use it to obtain sufficient conditions for the Riesz property of a system of normalized root functions of this operator in p L .

Sign in / Sign up

Export Citation Format

Share Document