Zobrazeno 1 - 10
of 87
pro vyhledávání: '"Krishtal, Ilya A."'
We investigate the dynamical sampling space-time trade-off problem within a graph setting. Specifically, we derive necessary and sufficient conditions for space-time sampling that enable the reconstruction of an initial band-limited signal on a graph
Externí odkaz:
http://arxiv.org/abs/2411.12670
Autor:
Krishtal, Ilya, Miller, Brendan
We extend the classical Kadec 1/4 theorem for systems of exponential functions on an interval to frames and atomic decompositions formed by sampling an orbit of a vector under an isometric group representation.
Externí odkaz:
http://arxiv.org/abs/2407.15827
We consider similarity transformations of a perturbed linear operator $A-B$ in a complex Banach space $\mathcal{X}$, where the unperturbed operator $A$ is a generator of a Banach $L_1(\mathbb{R})$-module and the perturbation operator $B$ is a bounded
Externí odkaz:
http://arxiv.org/abs/2404.01227
Autor:
Krishtal, Ilya A., Pfander, Götz E.
We show that the classical Prony's method for recovery of a sparse signal from its consecutive Fourier coefficients can be viewed as a spectral identification problem for an unknown restriction of a known linear operator. This presents a unified poin
Externí odkaz:
http://arxiv.org/abs/2403.18966
This paper investigates the problem of recovering source terms in abstract initial value problems (IVP) commonly used to model various scientific phenomena in physics, chemistry, economics, and other fields. We consider source terms of the form $F=h+
Externí odkaz:
http://arxiv.org/abs/2401.15460
Autor:
Krishtal, Ilya, Miller, Brendan
We present an efficient algorithm for solving fractional programming problems whose objective functions are the ratio of a low-rank quadratic to a positive definite quadratic with convex constraints. The proposed algorithm for these convex-convex pro
Externí odkaz:
http://arxiv.org/abs/2301.11269
We analyze the problem of recovering a source term of the form $h(t)=\sum_{j}h_j\phi(t-t_j)\chi_{[t_j, \infty)}(t)$ from space-time samples of the solution $u$ of an initial value problem in a Hilbert space of functions. In the expression of $h$, the
Externí odkaz:
http://arxiv.org/abs/2208.13756
In this paper, we consider the problem of recovery of a burst-like forcing term in an initial value problem (IVP) in the framework of dynamical sampling. We introduce an idea of using two particular classes of samplers that allow one to predict the s
Externí odkaz:
http://arxiv.org/abs/2109.00623
We describe a closed operator functional calculus in Banach modules over the group algebra $L^1(\mathbb R)$ and illustrate its usefulness with a few applications. In particular, we deduce a spectral mapping theorem for operators in the functional cal
Externí odkaz:
http://arxiv.org/abs/2007.15530
Autor:
Aldroubi, Akram, Gröchenig, Karlheinz, Huang, Longxiu, Jaming, Philippe, Krishtal, Ilya, Romero, José Luis
We analyze the problem of reconstruction of a bandlimited function $f$ from the space-time samples of its states $f_t=\phi_t\ast f$ resulting from the convolution with a kernel $\phi_t$. It is well-known that, in natural phenomena, uniform space-time
Externí odkaz:
http://arxiv.org/abs/2004.14032