Herbert Dueñas Ruiz

13/10/2020
Speaker: Herbert Dueñas Ruiz
Title: Some ideas about orthogonal polynomials of several variables.
Abstract: I present some ideas that we have been studying about Sobolev orthogonal polynomials in several variables. Some of them are results obtained in [1] and [2], but also, I want to show some results obtained by Yuan Xu in [3] and [4], about orthogonal polynomials in and on quadratic surfaces

References:

[1] Dueñas H and Salazar-Morales O., Laguerre-Gegenbauer-Sobolev orthogonal polynomials in two variables on product domains. Revis. Col. Mat. Accepted.
[2] Dueñas H, Piñar M and Salazar-Morales O., Sobolev orthogonal polynomials of several variables on product domains. (Submitted)
[3] Xu Y., Orthogonal polynomials and Fourier orthogonal series on a cone, J. Fourier Anal. Appl. 26. (2020).
[4] S. Olver and Xu Y., Orthogonal polynomials in and on a quadratic surface of revolution. Comp. Math. Accepted.