Видеотека: N. N. Shamarov, Kolmogorov integral, infinite dimensional pseudo-differential operators and the Weyl secondary quantization

ВИДЕОТЕКА


Международная конференция «Современная математическая физика. Владимиров-95» 16 ноября 2018 г. 13:05, г. Москва, г. Москва, ул. Губкина, д. 8, конференц-зал МИАН (9 этаж)

Kolmogorov integral, infinite dimensional pseudo-differential operators and the Weyl secondary quantization N. N. Shamarov
Аннотация: Using the notion of the indefinite Kolmogorov integral we define pseudo-differential operators with the Weyl symbols (PDOW) acting in a space of smooth enough countably-additive complex-valued Borel measures on the infinite-dimensional Hilbert space Q, and also PDOW acting in a space of smooth enough functions on the same Q. We introduce and prove the symmetric property of these PDOs with real symbols. Язык доклада: английский