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Results tagged with ca.classical-analysis-and-odes
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user 116258
Special functions, orthogonal polynomials, harmonic analysis, ordinary differential equations (ODE's), differential relations, calculus of variations, approximations, expansions, asymptotics.
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Characterization of an integral operator with a Bessel kernel
What I was looking for was in fact Picard's condition for solving integral equations of the first kind. A convenient reference is R. Kress, Linear Integral Equations, Springer, Thm 15.18.
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Characterization of an integral operator with a Bessel kernel
I am considering the following integral operator: $$K(\sigma)(\theta)=\int_0^{2\pi} \sigma(\theta') J_0(|e^{i\theta}-e^{i\theta'}|)\,d\theta',$$ where $J_0$ is the Bessel function of order $0.$
I am l …
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