Complete Systems of Hermite Associated Functions

Rusev, Peter. "Complete Systems of Hermite Associated Functions." Serdica Mathematical Journal 26.3 (2000): 221-228. <http://eudml.org/doc/11490>.

@article{Rusev2000,
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 CRthen the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.},
author = {Rusev, Peter},
journal = {Serdica Mathematical Journal},
keywords = {Hermite Polynomials; Hermite Associated Functions; Completeness; Hermite polynomials; Hermite associated functions; completeness},
language = {eng},
number = {3},
pages = {221-228},
publisher = {Institute of Mathematics and Informatics},
title = {Complete Systems of Hermite Associated Functions},
url = {http://eudml.org/doc/11490},
volume = {26},
year = {2000},
}

TY - JOUR
AU - Rusev, Peter
TI - Complete Systems of Hermite Associated Functions
JO - Serdica Mathematical Journal
PY - 2000
PB - Institute of Mathematics and Informatics
VL - 26
IS - 3
SP - 221
EP - 228
AB - 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 CRthen the system of Hermite associated functions Gkn(z) n=0..∞ is complete in the space H(D) of complex functions holomorphic in D.
LA - eng
KW - Hermite Polynomials; Hermite Associated Functions; Completeness; Hermite polynomials; Hermite associated functions; completeness
UR - http://eudml.org/doc/11490
ER -