Ultradifferentiable classes of entire functions
DOI10.1007/s43036-023-00294-6arXiv2306.00653MaRDI QIDQ6086418
Gerhard Schindl, David Nicolas Nenning
Publication date: 12 December 2023
Published in: Advances in Operator Theory (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2306.00653
weight sequencesweighted spaces of entire functionsassociated weight functionsboundedness of linear operatorsgrowth and regularity properties for sequences
Topological linear spaces of continuous, differentiable or analytic functions (46E10) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Linear differential equations in abstract spaces (34G10) Rate of growth of functions, orders of infinity, slowly varying functions (26A12) Special classes of entire functions of one complex variable and growth estimates (30D15) Operators on Hilbert spaces (general) (47B02)
Cites Work
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- Strongly regular sequences and proximate orders
- Equality of ultradifferentiable classes by means of indices of mixed O-regular variation
- Semigroups of linear operators and applications to partial differential equations
- On E. Borel's theorem
- Division by flat ultradifferentiable functions and sectorial extensions
- Ultradifferentiable functions and Fourier analysis
- Solid hulls and cores of classes of weighted entire functions defined in terms of associated weight functions
- On subadditivity-like conditions for associated weight functions
- Indices of O-regular variation for weight functions and weight sequences
- A comparison of two different ways to define classes of ultradifferentiable functions
- On quasianalytic local rings
- Composition in ultradifferentiable classes
- On the strong smoothness of weak solutions of an abstract evolution equation ii. gevrey ultradifferentiability
- On the strong smoothness of weak solutions of an abstract evolution equation III. gevrey ultradifferentiability of order less than One
- Boundary values of solutions of operator-differential equations
- On the strong smoothness of weak solutions of an abstract evolution equation i. differentiability
- Extension of Whitney jets of controlled growth
- On the extension of Whitney ultrajets, II
- On generalized definitions of ultradifferentiable classes
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