Results 201 to 210 of about 568,612 (221)

The Cauchy and the Szegö kernels on multiply connected regions

Rendiconti del Circolo Matematico di Palermo, 1982
LetD be a bounded plane region whose boundary ∂D is Dini-smooth. An operatorB:L 2(∂D)→L 2(∂D) that has been considered by Kerzman and Stein is investigated. This operator is a compact self-adjoint integral operator whose kernel β (z, ζ) is bounded on ∂Dx∂D and has a geometric description involving chords inD.
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Unique Continuation and the Cauchy Kernel

2002
In the previous chapters we have been occupied with the study of Dirac operators acting on functions in general. From this chapter on there will be a shift of attention: we shall be looking at monogenic functions, i.e., solutions of the equation \( \not{\nabla }f = 0 \) in some domain Ω.
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Gabor frame operator for the Cauchy kernel

St. Petersburg Mathematical Journal
New estimates of the upper and lower frame constants for the frame operator S = S
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SINGULAR INTEGRAL EQUATIONS WITH CAUCHY KERNEL

1966
This chapter presents one of the most important theoretical applications of the Riemann boundary value problem—the investigation of singular integral equations with Cauchy kernel. As the Riemann boundary value problem has been mostly considered for closed contours only, the integral in the integral equations under review in the chapter are taken along ...
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Hirota Bilinear Identity for the Cauchy Kernel

1999
In this chapter we give some motivation for the introduction of the generalized Hirota bilinear identity, which is a basic technical tool and a formal start for most of the material presented in this book. We do not develop a full-scale formalism, but rather show the connections of the Hirota bilinear identity to the context of boundary problems for ...
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Cauchy kernel-based maximum correntropy Kalman filter

International Journal of Systems Science, 2020
Zhangming He, Jiongqi Wang, Dayi Wang
exaly  

Characterization of quadratic Cauchy–Stieltjes kernel families based on the orthogonality of polynomials

Journal of Mathematical Analysis and Applications, 2018
Raouf Fakhfakh
exaly  

Tikhonov Regularization by a Reproducing Kernel Hilbert Space for the Cauchy Problem for an Elliptic Equation

SIAM Journal of Scientific Computing, 2008
Masahiro Yamamoto
exaly  

One-Sided Cauchy–Stieltjes Kernel Families

Journal of Theoretical Probability, 2010
Wlodzimierz Bryc
exaly  

Application of Jacobi polynomials to approximate solution of a singular integral equation with Cauchy kernel

Applied Mathematics and Computation, 2006
Paweł Karczmarek
exaly