Persons
doc. RNDr. Jaroslav Tišer, CSc.
Dissertation topics
Differentiation of integrals in an infinite dimensional space
- Branch of study: Mathematical Engineering
- Department: Department of Mathematics
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Description:
Differentiation of integrals uses - as a main tool in Euclidean spaces - the Vitali covering theorem, which does not hold in Hilbert spaces. Nevertheless, the positive differentiation result still holds true for functions in Lp, p>1, and some class of Gaussian measures. The aim would be to enlarge either the family of functions or the class of Gaussian measures for which we can get the theorem of differentiation of integrals.
