Results 211 to 220 of about 497,921 (244)
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On the Bessel Heat Equation Related to the Bessel Diamond Operator
Acta Applicandae Mathematicae, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saglam, Aziz +2 more
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Schauder estimates for Bessel operators
Forum Mathematicum, 2023Abstract We prove Schauder estimates for elliptic and parabolic problems governed by the degenerate operator ℒ =
Giorgio Metafune +2 more
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On Inversion Of Bessel Potentials Associated With The Laplace–Bessel Differential Operator
Acta Mathematica Hungarica, 2002zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Aliev, I. A., Uyhan-Bayrakci, S.
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Bessel-Type Operators with an Inner Singularity
Integral Equations and Operator Theory, 2012The authors study the Bessel-type differential equation \[ -y''+\frac{\frac{\alpha}{2}\left(\frac{\alpha}{2}+1\right)}{(x-1)^2}y=\lambda\, y,\quad 0\leq x\leq a, \] where \(a>1\). Note that this equation has an inner singularity at \(x=1\). If \(\alpha\geq 1\), then this singularity is in the limit point case at \(x=1\) from both sides, and hence ...
Brown, B. Malcolm +2 more
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Eigenvalue asymptotics for Dirac–Bessel operators
Journal of Mathematical Physics, 2016In this paper, we establish the eigenvalue asymptotics for non-self-adjoint Dirac–Bessel operators on (0, 1) with arbitrary real angular momenta and square integrable potentials, which gives the first step for solution of the related inverse problem. The approach is based on a careful examination of the corresponding characteristic functions and their ...
Hryniv, Rostyslav O. +1 more
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Spectral Multipliers for Multidimensional Bessel Operators
Journal of Fourier Analysis and Applications, 2010The paper treats the problem of spectral multipliers associated with the multidimensional Bessel operator \[ \Delta_\lambda=-\sum_{j=1}^n \Big(\frac{\partial^2}{\partial x_j^2}+\frac{2\lambda_j}{x_j}\frac{\partial}{\partial x_j}\Big), \] which is symmetric and positive in \(L^2(\mu_\lambda):=L^2((0,\infty)^n,\,\mu_\lambda)\), where \(d\mu_\lambda(x ...
Betancor, J. J. +2 more
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On the Bessel diamond and the nonlinear Bessel diamond operator related to the Bessel wave equation
Nonlinear Analysis: Theory, Methods & Applications, 2008zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sarikaya, Mehmet Zeki +1 more
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Integral Transforms and Special Functions, 2014
We define an algebra of linear operators whose kernels are essentially Bessel functions. These operators act on spaces of entire functions of exponential type and are endowed with a complete and explicit symbolic calculus that we will describe. We explain how these operators were designed to be models for Toeplitz operators on the unit sphere in the n ...
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We define an algebra of linear operators whose kernels are essentially Bessel functions. These operators act on spaces of entire functions of exponential type and are endowed with a complete and explicit symbolic calculus that we will describe. We explain how these operators were designed to be models for Toeplitz operators on the unit sphere in the n ...
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Estimation of Bessel Operator Inversion by Shearlet
2011Curvelets are used to deal with the inverse problem of recovering a function f from noisy Bessel data B α f by Candes and Donoho. Motivated by the work of Colona, Easley and Labate, we solve the same problem by shearlets. It turns out that our method attains the mean square error convergence to O(log(\(\varepsilon^{-1})\varepsilon^{\frac{2}{\frac{3}{2}+
Lin Hu, Youming Liu
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Family of Bessel Operator Functions
Journal of Mathematical ScienceszbMATH Open Web Interface contents unavailable due to conflicting licenses.
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