Moravetska K. Measures on Banach manifolds with uniform structure

Українська версія

Thesis for the degree of Candidate of Sciences (CSc)

State registration number

0419U000537

Applicant for

Specialization

  • 01.01.01 - Математичний аналіз

20-02-2019

Specialized Academic Board

К 26.002.31

Publishing and Printing Institute of Igor Sikorsky Kyiv Polytechnic Institute

Essay

The thesis is devoted to differentiable measures on Banach manifolds with uniform structure. A construction of associated surface measures on embedded surfaces with finite codimension is proposed. A criterion for weak differentiability of measures is generalized to the case of differentiation along vector fields on Banach manifolds with uniform structure.

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