Boundary value problems for analytic and harmonic functions in domains with nonsmooth boundaries. Applications to conformal mappings.
Boundary value problems for analytic functions in the class of Cauchy-type integrals with density in .
Boundary value problems in complex analysis. II.
Boundary value problems of the theory of analytic functions with displacements.
Boundary-value problems of Hilbert type for linear p-areolar differential equations in the form
Bounded Functions With No Spectral Gaps
Calculating Singular Integrals as an Ill-posed Problem.
Calderón's problem for Lipschitz classes and the dimension of quasicircles.
In the last years the mapping properties of the Cauchy integralCΓf(z) = 1/(2πi) ∫Γ [f(ξ) / ξ - z] dξhave been widely studied. The most important question in this area was Calderón's problem, to determine those rectifiable Jordan curves Γ for which CΓ defines a bounded operator on L2(Γ). The question was solved by Guy David [Da] who proved that CΓ is bounded on L2(Γ) (or on Lp(Γ), 1 < p < ∞) if and only if Γ is regular, i.e.,H1(Γ ∩ B(z0,R) ≤ CRfor every z0 ∈ C, R > 0 and for...
Carlemann Approximation on Riemann Surfaces.
Cauchy integral formulas for complex functions
Cauchy operator on Bergman space of harmonic functions on unit disk
Cauchy transforms of self-similar measures.
Causality and local analyticity : mathematical study
Characteristic functional equations of polynomials and the Morera-Carleman theorem.
Characterization of linear functionals associated with bilinear forms of Sobolev type.
Chebyshev approximation via polynomial mappings and the convergence behaviour of Krylov subspace methods.
Coincidence of some classes of universal functions.
Complete interpolating sequences for Paley-Wiener spaces and Muckenhoupt's (Ap) condition.
We describe the complete interpolating sequences for the Paley-Wiener spaces Lπp (1 < p < ∞) in terms of Muckenhoupt's (Ap) condition. For p = 2, this description coincides with those given by Pavlov [9], Nikol'skii [8] and Minkin [7] of the unconditional bases of complex exponentials in L2(-π,π). While the techniques of these authors are linked to the Hilbert space geometry of Lπ2, our method of proof is based in turning the problem into one about boundedness of the Hilbert transform...
Computation of Poisson type integrals.