In analogy with the definition of “extended Sobolev scale" on R n by Mikhailets and Murach,
working in the setting of the lattice Z n, we define the “extended Sobolev scale" H φ (Z n) …

In this article, we introduce and study $ M $-elliptic pseudo-differential operators in the
framework of non-harmonic analysis of boundary value problems on a manifold $\Omega …

In this paper, we prove a potentially useful\(L^ p (d\nu)\)-boundedness result for the pseudo-
differential operators associated with the spherical mean operator. Also, boundedness result …

In this paper, boundedness and compactness results for symmetrically global pseudo-
differential operator on L α p (R+ n+ 1)-type Sobolev space H α r, s, p of order (r, s) are …

In this paper, we first prove a version of the Gohberg's lemma for pseudo-differetial operators
with weighted SG M-symbol. Then by using Gohberg's lemma, we give a necessary and …