Results 1 to 10 of about 33 (31)

On the Gevrey ultradifferentiability of weak solutions of an abstract evolution equation with a scalar type spectral operator on the real axis

open access: yesOpen Mathematics, 2020
Given the abstract evolution equation y′(t)=Ay(t),t∈ℝ,y^{\prime} (t)=Ay(t),t\in {\mathbb{R}}, with a scalar type spectral operator A in a complex Banach space, we find conditions on A, formulated exclusively in terms of the location of its spectrum in ...
Markin Marat V.
doaj   +1 more source

Fekete-Szegö problems for generalized Sakaguchi type functions associated with quasi-subordination [PDF]

open access: yes, 2018
In the present paper, the authors introduce a generalized Sakaguchi type non-Bazilevic function class Mλ,β (φ, s, t) of analytic functions involving quasi-subordination and obtain bounds for the Fekete-Szegö functional |a3 −µa2 for the functions ...
PANIGRAHI, Trailokya   +1 more
core   +2 more sources

© Hindawi Publishing Corp. ON THE CARLEMAN CLASSES OF VECTORS OF A SCALAR TYPE SPECTRAL OPERATOR [PDF]

open access: yes, 2003
The Carleman classes of a scalar type spectral operator in a reflexive Banach space are characterized in terms of the operator’s resolution of the identity. A theorem of the Paley-Wiener type is considered as an application.
L. Gorbachuk   +4 more
core  

A symbolic calculus for analytic Carleman classes

open access: yes, 1987
J. A. Siddiqi, Mostéfa Ider
semanticscholar   +1 more source

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