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math.FA2007★ 2 cited
Direct and inverse theorems in the theory of approximation by the Ritz method
S. M. Torba, M. L. Gorbachuk, Ya. I. Grushka
For an arbitrary self-adjoint operator in a Hilbert space , we present direct and inverse theorems establishing the relationship between the degree of smoothness of a vector…
math.FA2007
On Existence of Boundary Values of Polyharmonic Functions
M. L. Gorbachuk, S. M. Torba
In trigonometric series terms all polyharmonic functions inside the unit disk are described. For such functions it is proved the existence of their boundary values on the unit circ…