Satisfying boundary conditions (5) by the functions (13)-(14) on the faces of cracks with end zones, we get a system of singular integral
equations with respect to the unknown functions [g.
Then, we use the Toeplitz matrix method and product Nystrom method, as the best two methods, to obtain the solution of the singular integral
p](D), p > 2, is a solution of the singular integral
Weakly singular integral
equations are also discussed.
Shamir, Calderon's reproducing formula and singular integral
operators on a real line.
of Memphis, Tennessee) quantitatively study the basic approximation properties of the general Picard, Gauss-Weierstrass, and Poisson-Cauchy singular integral
operators over the real line, which are not positive linear operators.
Calderon (1920-1998) was an important Argentine mathematician known for his work on the theory of partial differential equations and singular integral
The q-Fourier transform and its inverse are certain singular integral
equations, somewhat similar to the case of the classical Hilbert transform; see ,  for an account of the theory of singular integral
In  the Haar wavelet method is applied to solving different types of linear integral equations (Fredholm, Volterra, integro-differential, weakly singular integral
equations), also the eigenvalue problem is solved.
This small volume on linear singular integral
equations examines solutions to complex problems in partial differential equations.
He covers Volterra integral equations, Fredholm integral equations, nonlinear integral equations, the singular integral
equation, integro-differential equations, symmetric kernals and orthogonal systems of functions, and a range of applications.
w] can be found as a solution of the singular integral