A continuous linear right inverse of the representation operator and applications to the convolution operators

1992 ◽  
Vol 34 (1) ◽  
pp. 59-72 ◽  
Author(s):  
Yu. F. Korobe�nik ◽  
S. N. Melikhov
Keyword(s):  
Continuous Linear ◽  
Convolution Operators ◽  
Representation Operator

scholarly journals О разложении в ряды экспонент функций, аналитических на выпуклых локально замкнутых множествах

2011 ◽  
Author(s):  
S.N. Melikhov ◽  
S. Momm
Keyword(s):  
Analytic Functions ◽  
Closed Subset ◽  
Sufficient Conditions ◽  
Nonempty Interior ◽  
Continuous Linear ◽  
Exponential Series ◽  
Representation Operator ◽  
Bounded Convex

Let Qbe a bounded, convex, locally closed subset of CN with nonempty interior. For N>1 sufficient conditions are obtained that an operator of the representation of analytic functions on Q by exponential series has a continuous linear right inverse. For N=1 the criterions for the existence of a continuous linear right inverse for the representation operator are proved.

Sign in / Sign up

Export Citation Format

Share Document