Motivated by the recent paper of Boggiatto–Garello (J Pseudo-Differ Oper Appl 11: 93–117,
2020) where a Gabor operator is regarded as pseudodifferential operator with symbol p (x …

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) …

Starting from the study of pseudodifferential operators with completely periodic symbols, we
obtain results of continuity and invertibility of a class of Gabor operators on time-frequency …

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 the setting of the lattice Z n we consider a pseudo-differential operator A whose symbol
belongs to a class defined on Z n× T n, where T n is the n-torus. We realize A as an operator …

In this paper, we study elements of symbolic calculus for pseudo-differential operators
associated with the weighted symbol class\(M_ {\rho,\Lambda}^ m ({\mathbb {T}}\times …

In the setting of the lattice $\ZZ^ n $ we consider a pseudo-differential operator $ A $ whose
symbol belongs to a class recently introduced by Botchway, Ga\" el Kibiti, and Ruzhansky …

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 …