An alternative to Plemelj-Smithies formulas on infinite determinants

Simple item page
dc.creatorMarchetti, Domingos H. U.
dc.date1993-01-11
dc.date.accessioned2026-07-07T09:07:34Z
dc.date.available2026-07-07T09:07:34Z
dc.descriptionAn alternative to Plemelj - Smithies formulas for the p -regularized quantities $d^{(p)}(K)$ and $D^{(p)}(K)$ is presented which generalizes previous expressions with $p=1$ due to Grothendieck and Fredholm. It is also presented global upper bounds for these quantities. In particular we prove that $$ |d^{(p)}(K)| \le e^{κ\n K \n_p^p} $$ holds with $κ= κ(p) \le κ(\infty) = \exp \bigl\{-{1 \over 4(1+ e^{2 π})} \bigr\}$ for $ p\ge 3$ which improves previous estimate yielding $κ(p) = e (2 + \ln(p-1))$.
dc.descriptionCYCLER Paper 93Jan002
dc.identifierhttps://arxiv.org/abs/chao-dyn/9301002
dc.identifierhttp://arxiv.org/abs/chao-dyn/9301002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/150417
dc.subjectChaotic Dynamics
dc.titleAn alternative to Plemelj-Smithies formulas on infinite determinants
dc.typetext

Files

Collections

arXiv