Articles with "proof generalized" as a keyword



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A simple proof of the generalized Leibniz rule on bounded Euclidean domains

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Published in 2021 at "Forum Mathematicum"

DOI: 10.1515/forum-2020-0228

Abstract: Abstract This paper is devoted to a simple proof of the generalized Leibniz rule in bounded domains. The operators under consideration are the so-called spectral Laplacian and the restricted Laplacian. Equations involving such operators have… read more here.

Keywords: leibniz rule; rule bounded; generalized leibniz; bounded domains ... See more keywords

An elementary proof of the generalized Itô formula

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Published in 2025 at "Mathematica Slovaca"

DOI: 10.1515/ms-2025-0016

Abstract: Abstract For one-dimensional semimartingales, the Itô formula can be extended from C2-functions to C1-functions with a locally absolutely continuous derivative. We propose a new, different proof of this result, which is simple, straightforward and quite… read more here.

Keywords: proof generalized; proof; elementary proof; generalized formula ... See more keywords