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- Title
A generalization of a theorem of Fischer.
- Authors
Napalkov, V. V.
- Abstract
The article offers information on the theorem of Fischer pairs. It states that the polynomials P(z) and P∗(z) were named as the Fischer pairs, which are extended to the arbitrary polynomials P(z) and Q(z). It says that the pair P(z) and P∗(z) was considered as a Fischer pair in the Fock space F if P(z) was presented as any polynomials. It mentions that the Hilbert structure was used to obtain the results related to Fock space, which indicates that the problem to describe the Fischer pair becomes significant. It adds that the theorem that denotes a set of all polynomials of degree in Q by Qm shows that it could be used in the construction of Fischer pairs in the Fock space when polynomials were replaced with the function of order <2.
- Subjects
BINARY number system; INTEGRAL theorems; POLYNOMIALS; MATHEMATICAL variables; ARBITRARY constants; SPACES of measures; CHARACTERISTIC functions; HILBERT space; ORDERED sets
- Publication
Doklady Mathematics, 2010, Vol 82, Issue 1, p546
- ISSN
1064-5624
- Publication type
Article
- DOI
10.1134/S1064562410040125