Results 21 to 30 of about 152 (97)
, 2002 In a recent paper, we gave a topological description of Colombeau type algebras introducing algebras of sequences with exponential weights. Embeddings of Schwartz' spaces into the Colombeau algebra G are well known, but for ultradistribution and periodic
Delcroix, Antoine +3 more
core +1 more source
A negative minimum modulus theorem and surjectivity of ultradifferential operators
, 2021 In 1979 I. Cior\u{a}nescu and L. Zsid\'o have proved a minimum modulus theorem for entire functions dominated by the restriction to the positive half axis of a canonical product of genus zero, having all roots on the positive imaginary axis and satisfying a certain condition.
openaire +3 more sources
On scalar-type spectral operators and Carleman ultradifferentiable C 0-semigroups [PDF]
Ukrainian Mathematical Journal, 2008 Necessary and sufficient conditions for a scalar-type spectral operator in a Banach space to be a generator of a Carleman ultradifferentiable C 0-semigroup are found. The conditions are formulated exclusively in terms of the spectrum of the operator.
openaire +1 more source
On scalar type spectral operators, infinite differentiable and Gevrey ultradifferentiable C0‐semigroups [PDF]
International Journal of Mathematics and Mathematical Sciences, 2004 Necessary and sufficient conditions for a scalar type spectral operator in a Banach space to be a generator of an infinite differentiable or a Gevrey ultradifferentiable C0‐semigroup are found, the latter formulated exclusively in terms of the operator′s spectrum.
openaire +2 more sources
On a class of translation-invariant spaces of quasianalytic ultradistributions [PDF]
, 2015 A class of translation-invariant Banach spaces of quasianalytic ultradistributions is introduced and studied. They are Banach modules over a Beurling algebra. Based on this class of Banach spaces, we define corresponding test function spaces $\mathcal{D}^
Dimovski, Pavel +2 more
core +1 more source
, 2016 The 3D incompressible Euler equation is an important research topic in the mathematical study of fluid dynamics. Not only is the global regularity for smooth initial data an open issue, but the behaviour may also depend on the presence or absence of ...
Besse, Nicolas, Frisch, Uriel
core +2 more sources
Translaciono invarijantni Banahovi prostori distribucija i granične vrednosti preko integralne transformacije [PDF]
, 2013 We use common notation ∗ for distribution (Scshwartz), (Mp) (Beurling) i {Mp} (Roumieu) setting. We introduce and study new (ultra) distribution spaces, the test function spaces D∗E and their strong duals D'∗E’*.These spaces generalize the spaces D∗Lq ,
Димовски Павел
core +3 more sources
Norm-Controlled Inversion in Smooth Banach Algebras, I
, 2012 Every differential subalgebra of a unital $C^*$-algebra is spectrally invariant. We derive a quantitative version of this well-known fact and show that a minimal amount of smoothness, as given by a differential norm, already implies norm control.
Gröchenig, Karlheinz, Klotz, Andreas
core +2 more sources
Surjectivity of convolution operators on spaces of ultradifferentiable functions of Roumieu type [PDF]
Studia Mathematica, 1997 Let \(\omega :[ 0,\infty [\to[ 0,\infty [ \) be a continuous increasing weight function and let \(\varepsilon _{\{\omega \}}(I)\) denote the space of all \(\omega\)-ultradifferentiable functions of Roumieu type on an open interval \(I\) in \(\mathbb{R}\). This notion is an extension of the classical Gevrey classes \(\Gamma ^{\{d\}}(\mathbb{R})\), \(d>1\
openaire +2 more sources
, 2016 We define and study classes of smooth functions which are less regular than Gevrey functions. To that end we introduce two-parameter dependent sequences which do not satisfy Komatsu's condition (M.2)', which implies stability under differential operators
Pilipović, Stevan +2 more
core +1 more source