Extension of Nevanllina-Pick Theorem Interpolation Theorem to Various Subalgebras of Bounded Analytic Functions
Presentation Type
Event
Full Name of Faculty Mentor
Debandra Benjade
Major
Applied Mathematics
Presentation Abstract
Let π² be a subset of the set of positive integers and D be the open unit disk in the complex plane. Define, π―βπ²(π«) = {π βπ―β(π«): ππ(π)=π , for all π βπ²}. It is not necessary that all the subsets K form algebra π―βπ²(π«), for example take the set K = {2}. We consider those set K for which π―βπ²(π«) is algebra under the usual product of functions. In this talk, we extend Nevanlinna-Pick interpolation theorem π―βπ²(π«).
External Presentation
1
Location
Brittain Hall, Room 114
Start Date
17-4-2019 4:10 PM
End Date
17-4-2019 4:30 PM
Disciplines
Applied Mathematics
Recommended Citation
Dunivin, Jeremiah, "Extension of Nevanllina-Pick Theorem Interpolation Theorem to Various Subalgebras of Bounded Analytic Functions" (2019). Undergraduate Research Competition. 18.
https://digitalcommons.coastal.edu/ugrc/2019/oral/18
Extension of Nevanllina-Pick Theorem Interpolation Theorem to Various Subalgebras of Bounded Analytic Functions
Brittain Hall, Room 114
Let π² be a subset of the set of positive integers and D be the open unit disk in the complex plane. Define, π―βπ²(π«) = {π βπ―β(π«): ππ(π)=π , for all π βπ²}. It is not necessary that all the subsets K form algebra π―βπ²(π«), for example take the set K = {2}. We consider those set K for which π―βπ²(π«) is algebra under the usual product of functions. In this talk, we extend Nevanlinna-Pick interpolation theorem π―βπ²(π«).