On scalar-type spectral operators and Carleman ultradifferentiable C 0-semigroups [PDF]
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.
M. V. Markin
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Inverse spectral theory for symmetric operators with several gaps: scalar-type Weyl functions
\textit{M. G. Kreǐn} investigated in [Mat. Sb., N. Ser. 20(62), 431--495 (1947; Zbl 0029.14103)] the spectrum of self-adjoint extensions \(\tilde S\) within a gap \(J\) of a densely defined symmetric operator \(S\) with finite deficiency indices. The result was generalized by \textit{J. F. Brasche, H. Neidhardt} and \textit{J. Weidmann} in [Math.
Albeverio, S. +3 more
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STOKES-TYPE INTEGRAL EQUALITIES FOR SCALARLY ESSENTIALLY INTEGRABLE LOCALLY CONVEX VECTOR-VALUED FORMS WHICH ARE FUNCTIONS OF AN UNBOUNDED SPECTRAL OPERATOR [PDF]
In this work we establish a Stokes-type integral equality for scalarly essentially integrable forms on an orientable smooth manifold with values in the locally convex linear space $\langle B(G),\sigma(B(G),\mathcal{N})\rangle$, where $G$ is a complex ...
Benedetto Silvestri
semanticscholar +1 more source
Analysis of non scalar control problems for parabolic systems by the block moment method
This article deals with abstract linear time invariant controlled systems of parabolic type. In [9], with A. Benabdallah, we introduced the block moment method for scalar control operators.
Boyer, Franck, Morancey, Morgan
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On the non-hypercyclicity of scalar type spectral operators and collections of their exponentials [PDF]
Generalizing the case of a normal operator in a complex Hilbert space, we give a straightforward proof of the non-hypercyclicity of a scalar type spectral operator A in a complex Banach space as well as of the collection
M. V. Markin
semanticscholar +1 more source
On the Non-Hypercyclicity of Normal Operators, Their Exponentials, and Symmetric Operators
We give a simple, straightforward proof of the non-hypercyclicity of an arbitrary (bounded or not) normal operator A in a complex Hilbert space as well as of the collection e t A t ≥ 0 of its exponentials, which, under a certain ...
Marat V. Markin, Edward S. Sichel
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OPERATOR METHOD IN THE SCALAR WAVE DIFFRACTION BY AXIALLY-SYMMETRIC DISCONTINUITIES IN THE SCREEN
Purpose: The scalar wave diffraction by the annular slot in an infinitely thin screen is considered in case of Dirichlet and Neumann boundary conditions. Diffraction problem by a flat ring is also considered as a dual one.
M. E. Kaliberda +2 more
doaj +1 more source
Bounds for OPE coefficients on the Regge trajectory
We consider the Regge limit of the CFT correlation functions JJOO $$ \left\langle \mathcal{JJOO}\right\rangle $$ and T T O O $$ \left\langle TT\mathcal{O}\mathcal{O}\right\rangle $$ , where J $$ \mathcal{J} $$ is a vector current, T is the stress tensor ...
Miguel S. Costa +2 more
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We reconstituted Synechocystis glycogen synthesis in vitro from purified enzymes and showed that two GlgA isoenzymes produce glycogen with different architectures: GlgA1 yields denser, highly branched glycogen, whereas GlgA2 synthesizes longer, less‐branched chains.
Kenric Lee +3 more
wiley +1 more source
Diversity and complexity in neural organoids
Neural organoid research aims to expand genetic diversity on one side and increase tissue complexity on the other. Chimeroids integrate multiple donor genomes within single organoids. Self‐organising multi‐identity organoids, exogenous cell seeding, or enforced assembly of region‐specific organoids contribute to tissue complexity.
Ilaria Chiaradia, Madeline A. Lancaster
wiley +1 more source

