4 papers
From Uniform Boundedness to the Boundary Between Convergence and Divergence
Ehssan Khanmohammadi, Omid Khanmohamadi
In this article we introduce a dual of the uniform boundedness principle which does not require completeness and gives an indirect means for testing the boundedness of a set. The d…
On the Positivity of Kirillov's Character Formula
Ehssan Khanmohammadi
We give a direct proof for the positivity of Kirillov's character on the convolution algebra of smooth, compactly supported functions on a connected, simply connected nilpotent Lie…
A Structured Inverse Spectrum Problem for Infinite Graphs and Unbounded Operators
Ehssan Khanmohammadi
Given an infinite graph on countably many vertices, and a closed, infinite set of real numbers, we prove the existence of an unbounded self-adjoint operator whose graph is…
A Structured Inverse Spectrum Problem For Infinite Graphs
Keivan Hassani Monfared, Ehssan Khanmohammadi
It is shown that for a given infinite graph on countably many vertices, and a compact, infinite set of real numbers there is a real symmetric matrix whose graph is …