Phase space Feynman path integrals of parabolic type (Spectral and Scattering Theory and Related Topics)

Abstract

This paper is a rough survey based on the talk at RIMS about the joint works with Prof. A. S. Vasudeva Murthy and Prof. Keiya Uchida. This survey introduces our results for the phase space path integrals of higher-order parabolic type on ℝ[d] ([10][13][14]) and on the torus T[d] with T = ℝ/(2πℤ) ([15])