Martedì 14 aprile 2015 ore 15.00
Aula Seminari – Dipartimento di Matematica
"INFINITE DIMENSIONAL INTEGRATION OF
OSCILLATORY TYPE AND APPLICATIONS"
Sonia
Mazzucchi
(Dipartimento di Matematica
Università di Trento)
In this talk I shall give an overview of alternative
integration techniques on infinite dimensional spaces
based on the concept of integral as a linear functional,
instead of the concept of measure, on which the
Lebesgue’s ”traditional” integration theory is based. This
alternative approach is necessary in the cases where a
sigma-additive measure with given finite dimensional
approximations cannot exist. The main application of
these techniques is the mathematical definition of
Feynman path integrals and the construction of a
functional integral representation of the solution of the
Schrödinger equation, nevertheless I shall point out that
the scope of this theory goes beyond Feynman
integration and it can find interesting applications in the
study of more general dynamical systems.
Referente: Andrea Pugliese
STAFF DIPARTIMENTO DI MATEMATICA
Università degli Studi Trento
Via Sommarive, 14- 38123 Povo (TN)
Tel +39 0461/281508-1625-1701 Fax+ 39 0461/281624
dept.math@unitn.it