Results 1 to 10 of about 86 (33)
Open 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.
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Pathological phenomena in Denjoy-Carleman classes [PDF]
, 2015 Let $\mathcal C^M$ denote a Denjoy-Carleman class of $\mathcal C^\infty$ functions (for a given logarithmically-convex sequence $M = (M_n)$). We construct: (1) a function in $\mathcal C^M((-1,1))$ which is nowhere in any smaller class; (2) a function on $
Jaffe, Ethan Y.
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Solution to the first Cousin problem for vector-valued quasianalytic functions [PDF]
, 2017 We study spaces of vector-valued quasianalytic functions and solve the first Cousin problem in these spaces.Comment: 23 ...
Debrouwere, Andreas, Vindas, Jasson
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Spectral theorem approach to commutative C* -algebras generated by Toeplitz operators on the unit ball: quasi-elliptic related cases [PDF]
, 2022 We consider commutative C* -algebras of Toeplitz operators in the weighted Bergman space on the unit ball in $\mathbb{C}^{\mathbf{n}}$. For the algebras of elliptic type we find a new representation, namely as the algebra of operators which are functions
Rozenblum, Grigori, Vasilevski, Nikolai
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Characterization of ultradifferentiable test functions defined by weight matrices in terms of their Fourier transform [PDF]
, 2016 We prove that functions with compact support in non-quasianalytic classes of Roumieu-type and of Beurling-type defined by a weight matrix with some mild regularity conditions can be characterized by the decay properties of their Fourier transform.
Schindl, Gerhard
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Open Mathematics, 2019 It is shown that, if all weak solutions of the evolution ...
Markin Marat V.
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Weakly sufficient sets for A−∞(D) [PDF]
, 1998 In the space A−∞(D) of functions of polynomial growth, weakly sufficient sets are those such that the topology induced by restriction to the set coincides with the topology of the original space.
Khôi, Le Hai, Thomas, Pascal J.
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Quantifier Elimination and Rectilinearisation Theorem for Generalised Quasianalytic Algebras [PDF]
, 2013 An algebra of germs of real functions is generalised quasianalytic if to each element of the algebra we can associate, injectively, a power series with nonnegative real exponents.
Rolin, Jean-Philippe, Servi, Tamara
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Surjectivity of the asymptotic Borel map in Carleman-Roumieu ultraholomorphic classes defined by regular sequences [PDF]
, 2020 We study the surjectivity of, and the existence of right inverses for, the asymptotic Borel map in Carleman?Roumieu ultraholomorphic classes defined by regular sequences in the sense of E. M. Dyn?kin. We extend previous results by J.
Jiménez Garrido, Jesús Javier +2 more
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