Zobrazeno 1 - 10
of 640
pro vyhledávání: '"Marcellán, F."'
M. Derevyagin, L. Vinet and A. Zhedanov introduced in Constr. Approx. 36 (2012) 513-535 a new connection between orthogonal polynomials on the unit circle and the real line. It maps any real CMV matrix into a Jacobi one depending on a real parameter
Externí odkaz:
http://arxiv.org/abs/2005.09772
Publikováno v:
In Journal of Mathematical Analysis and Applications 1 September 2023 525(1)
Autor:
García-Ardila, J.C., Marcellán, F.
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2024 540(2)
In this work we study orthogonal polynomials via polynomial mappings in the framework of the $H_q-$semiclassical class. We consider two monic orthogonal polynomial sequences $\{p_n (x)\}_{n\geq0}$ and $\{q_n(x)\}_{n\geq0}$ such that $$ p_{kn}(x)=q_n(
Externí odkaz:
http://arxiv.org/abs/1712.06474
Autor:
Marcato, G. A.1 (AUTHOR), Marcellán, F.2 (AUTHOR), Ranga, A. Sri1 (AUTHOR) sri.ranga@unesp.br, Lun, Yen Chi1 (AUTHOR)
Publikováno v:
Studies in Applied Mathematics. Aug2023, Vol. 151 Issue 2, p475-508. 34p.
Publikováno v:
In Journal of Approximation Theory June 2021 266
By using the Szeg\H{o}'s transformation we deduce new relations between the recurrence coefficients for orthogonal polynomials on the real line and the Verblunsky parameters of orthogonal polynomials on the unit circle. Moreover, we study the relatio
Externí odkaz:
http://arxiv.org/abs/1505.02143
Publikováno v:
Advances in Mathematics 298 (2016) 122-206
We develop a theory of Darboux transformations for CMV matrices, canonical representations of the unitary operators. In perfect analogy with their self-adjoint version -- the Darboux transformations of Jacobi matrices -- they are equivalent to Lauren
Externí odkaz:
http://arxiv.org/abs/1503.05003
Orthogonal polynomials on the product domain $[a_1,b_1] \times [a_2,b_2]$ with respect to the inner product $$ \langle f,g \rangle_S = \int_{a_1}^{b_1} \int_{a_2}^{b_2} \nabla f(x,y)\cdot \nabla g(x,y)\, w_1(x)w_2(y) \,dx\, dy + \lambda f(c_1,c_2)g(c
Externí odkaz:
http://arxiv.org/abs/1406.0762
Autor:
Marcellan, F., Xu, Y.
Sobolev orthogonal polynomials have been studied extensively in the past 20 years. The research in this field has sprawled into several directions and generates a plethora of publications. This paper contains a survey of the main developments up to n
Externí odkaz:
http://arxiv.org/abs/1403.6249