Certain isometries related to the bilateral Laplace transform

• Tipo: Artigo em Revista Científica Internacional
• Data: 2006

Autores

Yakubovich, SB (Autor) FCUP

Revista

A Revista está pendente de validação pelos Serviços Administrativos.

Título: Mathematical Modelling and Analysis

Vol. 11

Páginas: 331-346

ISSN: 1392-6292

Indexação

ISI Web of Knowledge

Scopus - 2 Citações

Outras Informações

ID Authenticus: P-007-GF8

Abstract (EN): We study certain isometrics between Hubert spaces, which are generated by the bilateral Laplace transform F¿(z) = ¿ -¿¿ ezt ¿(t) dt, z ¿ ¿. In particular, we construct an analog of the Bargmann-Fock type reproducing kernel Hubert space related to this transformation. It is shown that under some integrability conditions on ¿ the Laplace transform F ¿(z), z = x + iy is an entire function belonging to this space. The corresponding isometrical identities, representations of norms, analogs of the Paley-Wiener and Plancherel's theorems are established. As an application this approach drives us to a different type of real inversion formulas for the bilateral Laplace transform in the mean convergence sense.

Idioma: Inglês

Tipo (Avaliação Docente): Científica