IAM   02674
INSTITUTO ARGENTINO DE MATEMATICA ALBERTO CALDERON
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
Some Random Series in $L^p (\mu)$: Convergence and representation without loss of information
Autor/es:
JUAN MIGUEL MEDINA; BRUNO CERNUSCHI FRÍAS
Lugar:
Novosibirsk, Rusia
Reunión:
Conferencia; International Conference. Differential Equations, Function Spaces, Approximation Theory; 2008
Institución organizadora:
Instituto Sobolev, Academia de Ciencias de la Federación Rusa
Resumen:
This paper studies some properties of random series of the form P1i=1 aifi in general
Lebesgue spaces Lp(X,, µ),with µ -finite, 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 aP1i=1 aifi in general
Lebesgue spaces Lp(X,, µ),with µ -finite, 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 aLp(X,, µ),with µ -finite, 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 afis 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 afis 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.2 process.