Singular integral operators on manifolds with a boundary.
Some Estimates of the Remainder in the Expressions for the Eigenvalue Asymptotics of Some Singular Integral Operators
Some results on the ultimate behavior of solutions of Volterra functional-differential equations
Spectra of partial integral operators with a kernel of three variables
Let Ω= [a, b] × [c, d] and T 1, T 2 be partial integral operators in (Ω): (T 1 f)(x, y) = k 1(x, s, y)f(s, y)ds, (T 2 f)(x, y) = k 2(x, ts, y)f(t, y)dt where k 1 and k 2 are continuous functions on [a, b] × Ω and Ω × [c, d], respectively. In this paper, concepts of determinants and minors of operators E−τT 1, τ ∈ ℂ and E−τT 2, τ ∈ ℂ are introduced as continuous functions on [a, b] and [c, d], respectively. Here E is the identical operator in C(Ω). In addition, Theorems on the spectra of bounded...
Spectre du noyau intégral
On construit les fonctions propres sur et les valeurs caractéristiques du noyau de Hilbert-Schmidt . Le spectre est donné par la solution d’une équation transcendante dont le comportement asymptotique est .
Stability of a spline collocation method for strongly elliptic multidimensional singular integral equations.
Subordination properties of -valent functions defined by integral operators.
Sufficient conditions for boundedness of convolution operators in rearrangement-invariant spaces.
Sur les fonctions génératrices d'Abel. (Lettre adressée à M. L. Kronecker).