6533b838fe1ef96bd12a3f0b

RESEARCH PRODUCT

Polynomials generated by linear operators

Mary Lilian LourençoPablo GalindoLuiza A. Moraes

subject

Classical orthogonal polynomialsDiscrete mathematicsMacdonald polynomialsDifference polynomialsGegenbauer polynomialsApplied MathematicsGeneral MathematicsDiscrete orthogonal polynomialsHahn polynomialsWilson polynomialsOrthogonal polynomialsOPERADORES NÃO LINEARESMathematics

description

We study the class of Banach algebra-valued n n -homogeneous polynomials generated by the n t h n^{th} powers of linear operators. We compare it with the finite type polynomials. We introduce a topology w E F w_{EF} on E , E, similar to the weak topology, to clarify the features of these polynomials.

https://doi.org/10.1090/s0002-9939-04-07442-8