We prove sectorial extension theorems for ultraholomorphic function classes of Beurling type defined by weight functions with a controlled loss regularity. The proofs are based on reduction lemma, due to the second author, which allows extract from Roumieu case, was treated recently Jiménez-Garrido, Sanz, and third author. To have control opening sectors, where extensions exist, we use (mixed) ...

In this study, nonlinear bending of functionally graded (FG) circular sector plates with simply supported radial edges subjected to transverse mechanical loading has been investigated. Based on the first-order shear deformation plate theory with von Karman strain-displacement relations, the nonlinear equilibrium equations of sector plates are obtained. Introducing a stress function and a potent...

We introduce a notion of analytic generator for groups of unbounded operators, on Banach modules, arising from Esterle’s quasimultiplier theory. Characterizations of analytic generators are given in terms of the existence of certain functional calculi. This extends recent results about C0 groups of bounded operators. The theory is applicable to sectorial operators, representations of H∞, and in...

Abstract. A time integration method for the resolution of ordinary and partial differential equations is proposed. The method consists in computing a formal solution as a (eventually divergent) time series. Next, the Borel resummation method is applied to deduce an (sectorial) analytical solution. The speed and spectral properties of the scheme are analyzed through some examples. Applications t...

We extend the theorem of Balslev and Combes on the absence of singular continuous spectrum to a class of interactions including r~ (3/2 ̂ α < 2) local potentials. In addition, we note that the theory of sectorial operators allows a simplification of their proof and allows one to push the cuts through angles larger than the π/2 restriction employed by Balslev-Combes.