In this work, we concentrate on determining explicit expressions, via suitable orthogonal polynomials on the line, for the Green function associated with any regular boundary value problem on a weighted path, whose weights are determined by the coefficients of the three terms recurrence relation defining the polynomials. Our study is similar to what is known for boundary value problems associated with ordinary differential equations.
Carmona, Á.; Encinas, A.; Gago, S. "Boundary value problems for Schrödinger operators on a path". 2012.
Grup de recerca
VARIDIS - Varietats Riemannianes Discretes i Teoria del Potencial