info:eu-repo/semantics/article
Convergence of p-stable random fractional wavelet series and some of Its properties
Fecha
2020-09Registro en:
Medina, Juan Miguel; Dobarro, Fernando Ruben; Cernuschi Frias, Bruno; Convergence of p-stable random fractional wavelet series and some of Its properties; Institute of Electrical and Electronics Engineers; Ieee Transactions On Information Theory; 66; 9; 9-2020; 5866-5874
0018-9448
CONICET Digital
CONICET
Autor
Medina, Juan Miguel
Dobarro, Fernando Ruben
Cernuschi Frias, Bruno
Resumen
For appropriate orthonormal wavelet basis {ψ^e_jk} j∈Zk∈Z^de∈{0,1}^d, constants p and γ , if I_γ denotes the Riesz fractional integral operator of order γ and (ηjke)j∈Zk∈Z^de∈{0,1}^d a sequence of independent identically distributed symmetric p -stable random variables, we investigate the convergence of the series ∑_jkeηjkeI_γψ^ejk . Similar results are also studied for modified fractional integral operators. Finally, some geometric properties related to self similarity are studied.