IMAL   13325
INSTITUTO DE MATEMATICA APLICADA DEL LITORAL "DRA. ELEONOR HARBOURE"
Unidad Ejecutora - UE
artículos
Título:
Harmonic analysis related to Hermite expansions
Autor/es:
FORZANI, LILIANA; HARBOURE;ELEONOR SCOTTO, ROBERTO
Revista:
Applied Numerical Harmonic Analysis
Editorial:
Birkhauser Boston
Referencias:
Año: 2010 p. 73 - 96
ISSN:
1233-7234
Resumen:
The authors discuss Hermite polynomials and in Section 3, they give some results concerning the harmonic oscillator operator. In both sections, they describe what is known about the following operators: viz., the maximal heat diffusion semi-group, the Riesz transforms and the Littlewood-Paley-Stein quadratic functions. They also discuss in more detail the state of the art in each setting, describing Carlos-Segovia´s works on this subject.