Estructura de Polos Inusual para la Función Zeta de las Extensiones Autoadjuntas de un Operador Singular

H. FALOMIR, P.A.G. PISANI AND A. WIPF

Buenos Aires

Congreso; Segundo Encuentro Ítalo-Argentino de Matemática Pura y Aplicada; 2002

We study the pole structure of the ζ-function associated with the Hamiltonian H of a quantum mechanical particle living in the half-line ζ-functions of these operators present poles which depend on g and, in general, do not coincide with half an integer (they can even be irrational). The corresponding residues depend on the SAE considered.