Hamiltonian Feynman measures, Kolmogorov integral and infinite dimensional pseudo-differential operators

O. G. Smolyanov, N. N. Shamarov
2019 Doklady Akademii Nauk  
Properties of infinite dimensional pseudo-differential operators (PDO) are discussed; in particular, the connection between two definitions of the PDO is considered: one given in terms of the Hamiltonian Feynman measure, and another introduced in this work in terms of the Kolmogorov integral.
doi:10.31857/s0869-56524883243-247 fatcat:pxcifu6ns5c4nmt4dwqsqgrkta