Results 31 to 40 of about 1,388 (218)

Distorted Hankel integral operators [PDF]

Indiana University Mathematics Journal, 2004
For $\a,\b>0$ and for a locally integrable function (or, more generally, a distribution) $\f$ on $(0,\be)$, we study integral ooperators ${\frak G}^{\a,\b}_\f$ on $L^2(\R_+)$ defined by $\big({\frak G}^{\a,\b}_\f f\big)(x)=\int_{\R_+}\f\big(x^\a+y^\b\big)f(y)dy$.
Aleksandrov, A. B., Peller, V. V.
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On Normal $\mu$-Hankel Operators

Владикавказский математический журнал, 2022
Операторы Ганкеля образуют один из наиболее важных классов операторов в пространствах аналитических функций и имеют многочисленные реализации. Эти операторы можно определить как операторы, имеющие ганкелевы матрицы (т. е. матрицы, элементы которых зависят лишь от суммы индексов) относительно некоторого ортонормированного базиса в сепарабельном ...
Kuz'menkova, Ekaterina Yur'evna, Mirotin, Adol'f Rubimovich   +1 more
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On linear systems and τ functions associated with Lamé's equation and Painlevé's equation VI. [PDF]

, 2011
Painleve's transcendental differential equation PVI may be expressed as the consistency condition for a pair of linear differential equations with 2 by 2 matrix coefficients with rational entries.
Gordon Blower, Blower, Gordon
core   +1 more source

Efficient quantum circuits for dense circulant and circulant like operators [PDF]

Royal Society Open Science, 2017
Circulant matrices are an important family of operators, which have a wide range of applications in science and engineering-related fields. They are, in general, non-sparse and non-unitary.
S. S. Zhou, J. B. Wang
doaj   +1 more source

Norms of Hankel Operators on a Bidisc [PDF]

Proceedings of the American Mathematical Society, 1990
In the Hardy space on the bidisc T 2 {T^2}
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Operators of Hankel type [PDF]

, 1997
summary:Hankel operators and their symbols, as generalized by V. Pták and P. Vrbová, are considered. The present note provides a parametric labeling of all the Hankel symbols of a given Hankel operator $X$ by means of Schur class functions.
Pták, Vlastimil, Marcantognini, S. A. M., Bermudo, S., Morán, M. D.   +3 more
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The Essential Norm of the Generalized Hankel Operators on the Bergman Space of the Unit Ball in Cn

Abstract and Applied Analysis, 2010
In 1993, Peloso introduced a kind of operators on the Bergman space A2(B) of the unit ball that generalizes the classical Hankel operator. In this paper, we estimate the essential norm of the generalized Hankel operators on the Bergman space Ap(B)  (p>1)
Luo Luo, Yang Xuemei
doaj   +1 more source

Inversion of the Poisson-Hankel transform

International Journal of Mathematics and Mathematical Sciences, 1982
The Poisson-Hankel transform is defined as an integral transform of the initial temperature function, with the kernel as the source solution of the generalized heat equation.
C. Nasim
doaj   +1 more source

Nonlinear cross Gramians and gradient systems [PDF]

, 2007
We study the notion of cross Gramians for non-linear gradient systems, using the characterization in terms of prolongation and gradient extension associated to the system.
Jacquelien M. A. Scherpen, Ionescu, T. C.,, Scherpen, J. M. A., Ionescu, T. C., Tudor C. Ionescu, Scherpen, J. M. A.,   +5 more
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Characterizations of a Class of Dirichlet-Type Spaces and Related Operators

Journal of Mathematics, 2020
In this paper, some characterizations are given in terms of the boundary value and Poisson extension for the Dirichlet-type space Dμ. The multipliers of Dμ and Hankel-type operators from Dμ to L2PμdA are also investigated.
Xiaosong Liu, Songxiao Li
doaj   +1 more source