Geodesic
Complete Systems of Hermite Associated Functions
Serdica Mathematical Journal, Tome 26 (2000) no. 3, pp. 221-228.

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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 CR then the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.
Keywords: Hermite Polynomials, Hermite Associated Functions, Completeness 
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Rusev, Peter. Complete Systems of Hermite Associated Functions. Serdica Mathematical Journal, Tome 26 (2000) no. 3, pp. 221-228. http://geodesic.mathdoc.fr/item/SMJ2_2000_26_3_a2/