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1
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Characterization of the convolution operators on quasianalytic classes of Beurling type that admit a continuous linear right inverse

100%
Bonet J., Meise R.
Studia Mathematica
|
2008
|
tom 184
|
nr 1
49-77
EN
Extending previous work by Meise and Vogt, we characterize those convolution operators, defined on the space $𝓔_{(ω)}(ℝ)$ of (ω)-quasianalytic functions of Beurling type of one variable, which admit a continuous linear right inverse. Also, we characterize those (ω)-ultradifferential operators which admit a continuous linear right inverse on $𝓔_{(ω)} [a, b]$ for each compact interval [a,b] and we show that this property is in fact weaker than the existence of a continuous linear right inverse on $𝓔_{(ω)}(ℝ)$.
2
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Sequence space representations for zero-solutions of convolution equations on ultradifferentiable functions of Roumieu type

99%
Meise R.
Studia Mathematica
|
1989
|
tom 92
|
nr 3
211-230
3
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Projective representations of spaces of quasianalytic functionals

81%
Bonet J., Meise R., Melikhov S.
Studia Mathematica
|
2004
|
tom 164
|
nr 1
91-102
EN
The weighted inductive limit of Fréchet spaces of entire functions in N variables which is obtained as the Fourier-Laplace transform of the space of analytic functionals on an open convex subset of $ℝ^{N}$ can be described algebraically as the intersection of a family of weighted Banach spaces of entire functions. The corresponding result for the spaces of quasianalytic functionals is also derived.
4
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A radial Phragmén-Lindelöf estimate for plurisubharmonic functions on algebraic varieties

81%
Braun R. W., Meise R., Taylor B. A.
Annales Polonici Mathematici
|
1999
|
tom 72
|
nr 2
159-179
EN
For complex algebraic varieties V, the strong radial Phragmén-Lindelöf condition (SRPL) is defined. It means that a radial analogue of the classical Phragmén-Lindelöf Theorem holds on V. Here we derive a sufficient condition for V to satisfy (SRPL), which is formulated in terms of local hyperbolicity at infinite points of V. The latter condition as well as the extension of local hyperbolicity to varieties of arbitrary codimension are introduced here for the first time. The proof of the main result is based on a local version of the inequality of Sibony and Wong. The property (SRPL) provides a priori} estimates which can be used to deduce more refined Phragmén-Lindelöf results for algebraic varieties.
5
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Characterization of global Phragmén-Lindelöf conditions for algebraic varieties by limit varieties only

81%
Braun R., Meise R., Taylor B.
Annales Polonici Mathematici
|
2006
|
tom 88
|
nr 1
83-95
EN
For algebraic surfaces, several global Phragmén-Lindelöf conditions are characterized in terms of conditions on their limit varieties. This shows that the hyperbolicity conditions that appeared in earlier geometric characterizations are redundant. The result is applied to the problem of existence of a continuous linear right inverse for constant coefficient partial differential operators in three variables in Beurling classes of ultradifferentiable functions.
6
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Sequence space representations for (FN)-algebras of entire functions modulo closed ideals

80%
Meise R., Alan Taylor B.
Studia Mathematica
|
1987
|
tom 85
|
nr 3
203-227
7
Content available remote

Holomorphic functions of uniformly bounded type on nuclear Fréchet spaces

70%
Meise R., Vogt D.
Studia Mathematica
|
1986
|
tom 83
|
nr 2
147-166
8
Content available remote

Structure of spaces of holomorphic functions on infinite dimensional polydiscs

51%
Meise R., Vogt D.
Studia Mathematica
|
1982-1983
|
tom 75
|
nr 3
235-262
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