72 citations · 524 across the 41 of their papers we have counts for
Showing 2005 · math-phShow all
2 papers · 2 filters
math-ph2005★ 3 cited
Finite heat kernel expansions on the real line
Plamen Iliev
Let L=d^2/dx^2+u(x) be the one-dimensional Schrodinger operator and H(x,y,t) be the corresponding heat kernel. We prove that the nth Hadamard's coefficient H_n(x,y) is equal to 0 i…
math-ph2005★ 7 cited
On the heat kernel and the Korteweg-de Vries hierarchy
Plamen Iliev
We give explicit formulas for Hadamard's coefficients in terms of the tau-function of the KdV hierarchy. We show that some of the basic properties of these coefficients can be easi…