Arithmetic differential operators on a semistable model of $${\mathbb {P}}^1$$P1
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DOI: 10.1007/s00209-018-2171-5
Abstract: In this paper we study sheaves of logarithmic arithmetic differential operators on a particular semistable model of the projective line. The main result here is that the first cohomology group of these sheaves contains a… read more here.
Keywords: semistable model; arithmetic differential; operators semistable; differential ... See more keywords
Boundedness, Compactness and the Hyers–Ulam Stability of a Linear Combination of Differential Operators
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DOI: 10.1007/s11785-019-00972-5
Abstract: Let $$\lambda _1, \lambda _2 \ldots \lambda _{n-1}$$ λ 1 , λ 2 … λ n - 1 are non-zero complex numbers, $$\lambda _n$$ λ n a complex number, n a positive integer, $$D^n$$ D… read more here.
Keywords: lambda lambda; beta; hyers ulam; differential ... See more keywords
Complex symmetry of first-order differential operators on Hardy space
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DOI: 10.1080/17476933.2020.1736051
Abstract: ABSTRACT Given holomorphic functions and , we consider first-order differential operators acting on Hardy space, generated by the formal differential expression . We characterize these operators which are complex symmetric with respect to weighted composition… read more here.
Keywords: first order; hardy space; differential; differential operators ... See more keywords
Restriction and dimensional reduction of differential operators
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DOI: 10.1142/s0219887819500944
Abstract: We consider the restriction of a differential operator (DO) [Formula: see text] acting on the sections [Formula: see text] of a vector bundle [Formula: see text] with base [Formula: see text], in the language of… read more here.
Keywords: dimensional reduction; differential; see text; formula see ... See more keywords