Generalization of the Titchmarsh convolution theorem and the complex-valued measures uniquely determined by their restrictions to a half-line

1985 ◽  
pp. 256-283 ◽  
Author(s):  
I. V. Ostrovskii
Keyword(s):  
Convolution Theorem ◽  
Half Line ◽  
Complex Valued

An inverse problem for Sturm–Liouville operators on the half-line with complex weights

2019 ◽  
Vol 27 (3) ◽  
pp. 439-443
Author(s):  
Vjacheslav Yurko
Keyword(s):  
Inverse Problem ◽  
Inverse Problems ◽  
Differential Operators ◽  
Spectral Characteristics ◽  
Half Line ◽  
Sturm Liouville ◽  
The Given ◽  
Complex Valued ◽  
The Uniqueness Theorem ◽  
Liouville Operators

Abstract Second order differential operators on the half-line with complex-valued weights are considered. Properties of spectral characteristics are established, and the inverse problem of recovering operator’s coefficients from the given Weyl-type function is studied. The uniqueness theorem is proved for this class of nonlinear inverse problems, and a number of examples are provided.

scholarly journals Some properties of mean periodic functions

1972 ◽  
Vol 14 (4) ◽  
pp. 424-432 ◽  
Author(s):  
P. G. Laird
Keyword(s):  
Real Variable ◽  
Half Line ◽  
Periodic Functions ◽  
Continuous Complex ◽  
Complex Valued

This paper presents some properties of continuous complex-valued mean periodic functions of a single real variable. The theory of these functions is due mainly to Schwartz [7] and they have also been considered by Kahane [4, 5]. Most of the properties outlined here are also shared by the continuous meanperiodic functions on a half line introduced by Koosis [6].

Sign in / Sign up

Export Citation Format

Share Document