IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
SOME PROPERTIES OF RANDOM SERIES IN Lp(µ):
Autor/es:
JUAN MIGUEL MEDINA; BRUNO CERNUSCHI FRÍAS
Lugar:
Universidad de Buenos Aires, Buenos Aires, Argentina
Reunión:
Congreso; IV Congreso Internacional de matemática Aplicada a la Ingeniería, InMat 2008; 2008
Resumen:
This paper studies some properties of random series of the form 1Pi=11Pi=1
aifi in the
Lebesgue spaces Lp(X,, µ), where the ais are random variables, and the fis constitute a
basis of a closed subspace. We are concerned with some pointwise convergence properties,
in particular when the fis constitute an lp stable sequence. On the other hand as these
series may come from the expansion of a process in a given basis we study the problem
of representing a random process without loss of information. These series resembles
the Classical Karhunen-Lo´eve expansion of a L2 process.ifi in the
Lebesgue spaces Lp(X,, µ), where the ais are random variables, and the fis constitute a
basis of a closed subspace. We are concerned with some pointwise convergence properties,
in particular when the fis constitute an lp stable sequence. On the other hand as these
series may come from the expansion of a process in a given basis we study the problem
of representing a random process without loss of information. These series resembles
the Classical Karhunen-Lo´eve expansion of a L2 process.Lp(X,, µ), where the ais are random variables, and the fis constitute a
basis of a closed subspace. We are concerned with some pointwise convergence properties,
in particular when the fis constitute an lp stable sequence. On the other hand as these
series may come from the expansion of a process in a given basis we study the problem
of representing a random process without loss of information. These series resembles
the Classical Karhunen-Lo´eve expansion of a L2 process.fis constitute an lp stable sequence. On the other hand as these
series may come from the expansion of a process in a given basis we study the problem
of representing a random process without loss of information. These series resembles
the Classical Karhunen-Lo´eve expansion of a L2 process.L2 process.