Certain isometries related to the bilateral Laplace transform

• Type: Article in International Scientific Journal
• Date: 2006

Authors

Yakubovich, SB (Author) FCUP

Journal

The Journal is awaiting validation by the Administrative Services.

Title: Mathematical Modelling and Analysis

Vol. 11

Pages: 331-346

ISSN: 1392-6292

Indexing

ISI Web of Knowledge

Scopus - 2 Citations

Other information

Authenticus ID: 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.

Language: English

Type (Professor's evaluation): Scientific