Spectral theory of positive semigroups generated by differential operators

1994 ◽  
Vol 63 (4) ◽  
pp. 333-340
Author(s):  
Matthias Hieber
Keyword(s):  
Spectral Theory ◽  
Differential Operators ◽  
Positive Semigroups

Elements of the spectral theory of differential operators

2020 ◽  
pp. 115-248
Author(s):  
Michael Ruzhansky ◽  
Makhmud Sadybekov ◽  
Durvudkhan Suragan
Keyword(s):  
Spectral Theory ◽  
Differential Operators

scholarly journals Spectral Theory of Differential Operators and Energy Levels of Subatomic Particles

2016 ◽  
Vol 49 (3) ◽  
pp. 259-292 ◽  
Author(s):  
T. Ma and S.-H.Wang
Keyword(s):  
Spectral Theory ◽  
Differential Operators ◽  
Energy Levels ◽  
Subatomic Particles

Spectral Theory for the Differential Equation Lu= λ Mu

1958 ◽  
Vol 10 ◽  
pp. 431-446 ◽  
Author(s):  
Fred Brauer
Keyword(s):  
Differential Equation ◽  
Hilbert Space ◽  
Spectral Theory ◽  
Real Line ◽  
Differential Operators ◽  
Identity Operator ◽  
The Real ◽  
Ordinary Differential Operators ◽  
Extensive Bibliography

Let L and M be linear ordinary differential operators defined on an interval I, not necessarily bounded, of the real line. We wish to consider the expansion of arbitrary functions in eigenfunctions of the differential equation Lu = λMu on I. The case where M is the identity operator and L has a self-adjoint realization as an operator in the Hilbert space L 2(I) has been treated in various ways by several authors; an extensive bibliography may be found in (4) or (8).

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