1 citations · 1 across the 8 of their papers we have counts for
10 papers
An extension of the Liouville theorem for Fourier multipliers to sub-exponentially growing solutions
David Berger, René L. Schilling, Eugene Shargorodsky +1
We study the equation in a large class of sub-exponentially growing functions. Under appropriate restrictions on , we show that every such soluti…
An estimate for narrow operators on
Eugene Shargorodsky, Teo Sharia
We prove a theorem, which generalises C. Franchetti's estimate for the norm of a projection onto a rich subspace of and the authors' related estimate for compact oper…
Sharp estimates for conditionally centred moments and for compact operators on spaces
Eugene Shargorodsky, Teo Sharia
Let be a probability space, be a random variable on , be a sub--algebra of , and let…
Asymptotic Behaviour of Truncated Stochastic Approximation Procedures
Teo Sharia, Lei Zhong
We study asymptotic behaviour of stochastic approximation procedures with three main characteristics: truncations with random moving bounds, a matrix valued random step-size sequen…
Rate of Convergence of Truncated Stochastic Approximation Procedures with Moving Bounds
Teo Sharia, Lei Zhong
The paper is concerned with stochastic approximation procedures having three main characteristics: truncations with random moving bounds, a matrix valued random step-size sequence,…
Truncated Stochastic Approximation with Moving Bounds: Convergence
Teo Sharia
In this paper we propose a wide class of truncated stochastic approximation procedures with moving random bounds. While we believe that the proposed class of procedures will find i…