Zobrazeno 1 - 10
of 428
pro vyhledávání: '"Karapetyants, A."'
We introduce and study weighted spaces of functions with mixed norm on the upper half-plane, defined in terms of Fourier transform. We give a characterization of analytic functions within these spaces, and in particular, we provide an analog of the P
Externí odkaz:
http://arxiv.org/abs/2412.18954
We describe a general framework of functional and Fourier analysis on domains with a free action of an Abelian Lie group $G$. Namely, on a domain of the form $G\times Y$ we introduce the appropriate spaces of distributions and measurable functions, e
Externí odkaz:
http://arxiv.org/abs/2411.15379
We investigate the strong convergence properties of a Nesterov type algorithm with two Tikhonov regularization terms in connection to the minimization problem of a smooth convex function $f.$ We show that the generated sequences converge strongly to
Externí odkaz:
http://arxiv.org/abs/2308.05056
Autor:
Karapetyants, Mikhail
In this manuscript we would like to address the classical optimization problem of minimizing a proper, convex and lower semicontinuous function via the second order in time dynamics, combining viscous and Hessian-driven damping with a Tikhonov regula
Externí odkaz:
http://arxiv.org/abs/2303.09980
In a Hilbert setting we aim to study a second order in time differential equation, combining viscous and Hessian-driven damping, containing a time scaling parameter function and a Tikhonov regularization term. The dynamical system is related to the p
Externí odkaz:
http://arxiv.org/abs/2207.12023
In a Hilbert setting we study the convergence properties of a second order in time dynamical system combining viscous and Hessian-driven damping with time scaling in relation with the minimization of a nonsmooth and convex function. The system is for
Externí odkaz:
http://arxiv.org/abs/2203.00711
We introduce and study in a general setting the concept of homogeneity of an operator and, in particular, the notion of homogeneity of an integral operator. In the latter case, homogeneous kernels of such operators are also studied. The concept of ho
Externí odkaz:
http://arxiv.org/abs/2112.03840
In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line, the theory of subdivision schemes is widely known due to multiple appl
Externí odkaz:
http://arxiv.org/abs/2012.05209
Autor:
Karapetyants, Mikhail
In this paper subdivision schemes, which are used for functions approximation and curves generation, are considered. In classical case, for the functions defined on the real line, the theory of subdivision schemes is widely known due to multiple appl
Externí odkaz:
http://arxiv.org/abs/2012.05204
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