Skip to main content

All Questions

Filter by
Sorted by
Tagged with
1 vote
0 answers
48 views

Can one explicitly define a right inverse for a convolution operator on the space of entire functions?

A result of Meise and Taylor in 1988 shows that every non-zero convolution operator on the Frechet space $H(\mathbb{C})$ of all entire functions on $\mathbb{C}$ has a continuous linear right inverse $...
David Walmsley's user avatar
3 votes
0 answers
182 views

Prove a certain function maps to upper half plane

Suppose $M$ is a bounded self-adjoint operator on space of complex valued functions on the real line $S_1=L^2(\mathbb{R},a(x)dx)$, where $a(x)$ is a nice real positive analytical function ( I have in ...
try123's user avatar
  • 31