IFLYSIB 05383
INSTITUTO DE FISICA DE LIQUIDOS Y SISTEMAS BIOLOGICOS
Unidad Ejecutora - UE
artículos
Título:
Bi-dimensional moment problem
Autor/es:
PINTARELLI, MARIA B.; VERICAT, FERNANDO
Revista:
FAR EAST JOURNAL OF MATHEMATICAL SCIENCES : FJMS
Editorial:
Pushpa Publishing House
Referencias:
Lugar: Allahabad; Año: 2011 vol. 54 p. 1 - 23
ISSN:
0972-0871
Resumen:
We consider the bi-dimensional moment problem, say the problem of recovering a function f (x, y) given its moments when the supporting interval I = (a1, b1) ~(a2, b2 ) is such that a1, b1, a2 and b2 are arbitrarily finite (bidimensional Hausdorff moment problem) and also when I = (−, )~ (−, ) (bi-dimensional Hamburger moment problem) or I = (0, )~ (0, ) (bi-dimensional Stieltjes moment problem). For all these cases, explicit bounds for the norm of f (x, y) and an algorithm for approximating the solution to the corresponding finite problem (with i, j = 0, 1, 2, ..., N ) are presented.
