In this note self-adjoint realizations of second order elliptic differential expressions with non-local Robin boundary conditions on a domain Ω ⊂ Rn with smooth compact boundary are studied. A Schatten–von Neumann type estimate for the singular values of the difference of the mth powers of the resolvents of two Robin realizations is obtained, and for m > n 2 − 1 it is shown that the resolvent p...

A support operators (operator-difference) method has proven itself well for implicit simulations of different astrophysical fluid flows. Following the operator-difference approach, we construct nodal difference analogues differential in Cartesian coordinates, where conjugacy properties are same as original ones. Using operators, develop an Eulerian semi-implicit gas-dynamical solver with self-g...

AbSlracl: Algorilhms for providing a quanlitati\e measure of edge ambIguity are described through fuzzy measures in a set. An IOdex is derined whose value IS maximum fOJ a grey lone image and decreases as the fnzzmess In detecting edges decreases. The inherent fuzzifying properly of the S-funclion is found to enable one nOI 10 use the tNT operator for contrasl enhancement and 10 save the time o...

A Mourre-type estimate is derived for the pseudorelativistic Brown–Ravenhall operator describing an atomic electron in a specific magnetic field of constant direction. As a consequence it is shown that its point spectrum is finite in R\{m} if the Coulomb potential strength γ is below 2 . An extension of the Mourre-type estimate to the exact block-diagonalized Dirac operator is also discussed. P...

In Castillo and Mbouna [On another extension of coherent pairs measures, Indag. Math. 31 (2020), pp. 223–234], the concept πN-coherent order (m,k) with index M is introduced. This definition, implicitly related standard derivative operator, automatically leaves out so-called discrete orthogonal polynomials. The purpose this note twofold: first, we use (discrete) Hahn difference operator rewrite...

In this paper, a new notion of frames is introduced: $ast$-operator frame as generalization of $ast$-frames in Hilbert $C^{ast}$-modules introduced by A. Alijani and M. A. Dehghan cite{Ali} and we establish some results.