8 citations · 8 across the 6 of their papers we have counts for
6 papers
Hausdorff Dimension of the Set of Extreme Points of a Random Countable Stable Zonotope
Maksim Kukushkin
Let , , and let be the successive arrival times of a standard Poisson process on . Given independent uniform directions …
The Zaporozhets-Tarasov Inequality for an Arbitrary Planar Convex Body
Maksim Kukushkin
We prove that the mean distance between two independent uniformly distributed points in an arbitrary planar convex body is strictly smaller than the mean distance between two indep…
Theory of sectorial operators and its application in Fractional calculus
Maksim V. Kukushkin
In this monograph, we formulated the sufficient conditions of the Abel-Lidskii basis property for a sectorial operator. Having studied such an operator class, we strengthened the c…
Schatten index of the operator via the real component of its inverse
Maksim V. Kukushkin
In this paper we study spectral properties of non-selfadjoint operators with the discrete spectrum. The main challenge is to represent a complete description of belonging to the Sc…
Spectral Properties of Fractional Differentiation Operators
M. V. Kukushkin
In this paper presents the results obtained in the field of spectral theory operators of fractional differentiation. Proven a number of propositions which represents independent in…
Spectral properties of fractional differentiation operators
M. V. Kukushkin
We consider fractional differentiation operators in various senses and show that the strictly accretive property is the common property of fractional differentiation operators. Als…