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Müntz-Szász type approximation in direct products of spaces

© 2006 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation A M Sedletskii 2006 Izv. Math. 70 1031 DOI 10.1070/IM2006v070n05ABEH002337

1064-5632/70/5/1031

Abstract

We consider the problem of completeness of the system of exponentials , , in direct products of the spaces and  of functions defined on  and , respectively. We describe rather broad classes of spaces  and  such that the well-known condition of Szász is necessary for the completeness of the above system in  and sufficient for this completeness.

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10.1070/IM2006v070n05ABEH002337