BulDML at Institute of Mathematics and Informatics: Complete Systems of Hermite Associated Functions

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BulDML at Institute of Mathematics and Informatics >
IMI >
IMI Periodicals >
Serdica Mathematical Journal >
2000 >
Volume 26 Number 3 >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/417

Title:	Complete Systems of Hermite Associated Functions
Authors:	Rusev, Peter
Keywords:	Hermite Polynomials Hermite Associated Functions Completeness
Issue Date:	2000
Publisher:	Institute of Mathematics and Informatics
Citation:	Serdica Mathematical Journal, Vol. 26, No 3, (2000), 221p-228p
Abstract:	It is proved that if the increasing sequence {kn} n=0..∞ n=0 of nonnegative integers has density greater than 1/2 and D is an arbitrary simply connected subregion of C\R then the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.
URI:	http://hdl.handle.net/10525/417
ISSN:	1310-6600
Appears in Collections:	Volume 26 Number 3

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