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Rate of growth of hypercyclic and frequently hypercyclic functions for the Dunkl operator
- Source :
- idUS. Depósito de Investigación de la Universidad de Sevilla, instname
- Publication Year :
- 2015
- Publisher :
- arXiv, 2015.
-
Abstract
- For the Dunkl operator $\Lambda_\alpha$ $(\alpha > -1/2)$ on the space of entire functions on the complex space C, the critical rate of growth for the integral means $M_p(f,r)$ of their hypercyclic functions $f$ is obtained. The rate of growth of the corresponding frequently hypercyclic functions is also analyzed.<br />Comment: 14 pages, 0 figures
- Subjects :
- Mathematics::Functional Analysis
Pure mathematics
General Mathematics
Entire function
010102 general mathematics
47A16, 30D15
Frequently hypercyclic operator
Frequently hypercyclic vector
Rate of growth
Space (mathematics)
Lambda
01 natural sciences
Functional Analysis (math.FA)
Mathematics - Functional Analysis
010101 applied mathematics
Frequent hypercyclicity criterion
Dunkl operator
Complex space
Critical rate
FOS: Mathematics
0101 mathematics
Mathematics
Subjects
Details
- Database :
- OpenAIRE
- Journal :
- idUS. Depósito de Investigación de la Universidad de Sevilla, instname
- Accession number :
- edsair.doi.dedup.....1c721c38701b51310e24813c22834277
- Full Text :
- https://doi.org/10.48550/arxiv.1508.07180