Finite rank point perturbations of the p-adic fractional differentiation operator D Î± are studied. The main attention is paid to the description of operator realizations (in L 2 (Qp)) of theâ€¦ (More)

A p-adic SchrÃ¶dinger-type operator DÎ± + VY is studied. D Î± (Î± > 0) is the operator of fractional differentiation and VY = âˆ‘n i,j=1 bij < Î´xj , Â· > Î´xi (bij âˆˆ C) is a singular potential containing theâ€¦ (More)

Arbitrary operator A on a Banach space X which is the generator of C0-group with certain growth condition at infinity is considered. The relationship between its exponential type entire vectors andâ€¦ (More)

For an arbitrary self-adjoint operator B in a Hilbert space H, we present direct and inverse theorems establishing the relationship between the degree of smoothness of a vector x âˆˆ H with respect toâ€¦ (More)

A spectral parameter power series (SPPS) representation for regular solutions of singular Bessel type Sturm-Liouville equations with complex coefficients is obtained as well as an SPPS representationâ€¦ (More)

A p-adic SchrÃ¶dinger-type operator DÎ± + V is studied. DÎ± (Î± > 0) is the operator of fractional differentiation and V = âˆ‘n i,j=1 bij < Î´xj , Â· > Î´xi (bij âˆˆ C) is a singular potential containing theâ€¦ (More)

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 circle in the space ofâ€¦ (More)