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홈 > 학술정보 >학술행사 > 세미나
KAIST 수리과학과 세미나

Title
Orthogonal polynomials II: multi-variable functions
Speaker
유현재   (한경대학교 )
Date
2017-07-21 13:30:00
Host
KAIST
Place
산업경영동(E2),Room 1225
Abstract
In the second lecture we continue the discussion of orthogonal polynomials, now dealing with multi-variable functions. By introducing creation, annihilation, and preservation operators for the multi-variables, we construct again an interacting Fock space (IFS). Thereby we extend the theory of orthogonal polynomials in the 1-dimensional space to that in the multi-dimensional space. As a byproduct we show the relationship between the support of the measure and the deficiency rank of the form generator, which appears in the construction of the IFS. We finish with some open problems. This lecture is based on the joint work with A. Dhahri (Chungbuk) and N. Obata (Tohoku).
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