Alagacone Sri Ranga

• Abstract

  In recent years, however, studies of orthogonal polynomials on the unit circle had priority in the research activities of the member Alagacone Sri Ranga of gruPOSjrp. These polynomials are also commonly known as Szegö polynomials in honor of Gabor Szegö, who introduced them in the second half of the 20th century. Because of their applications in quadrature rules, signal processing, operat…

  Orthogonal polynomials and related studies, AP.R

• Abstract

  In the coming years, studies of orthogonal polynomials on the unit circle will have priority in the research activities of the member Alagacone Sri Ranga of gruPOSjrp of IBILCE/UNESP. These polynomials are also commonly known as Szegö polynomials in honor of Gábor Szeg\H{o} who introduced them in the second half of the 20th century. Because of their applications in quadrature rules, si…

  Orthogonal polynomials on the unit circle and related studies, AP.R

• Abstract

  The principal objectives of this project are to study themes related to Harmonic Analysis, Approximation Theory and Special Functions and their Applications. Harmonic Analysis is a cornerstone of Analysis. The solutions of the principal partial differential equation are generally represented by convolutions and these representations are obtained via an application of the Fourier transform…

  Harmonic analysis, approximation theory and applications, AP.TEM

(Only some records are available in English at this moment)

• Abstract

  This project is about preparing the candidate to have the necessary knowledge to be able to undertake research in areas of Orthogonal Polynomials and Special Functions, in particular regarding orthogonal polynomials on the unit circle. As the candidate will be in her second year of graduation in mathematics, the first nine months of the project will be dedicated to obtain basic informatio…

  Polynomials obtained from a recurrence relation which is a modification of the recurrence relation satisfied by orthogonal polynomials, BP.IC

• Abstract

  Recently, in a publication of the supervisor of this project, it was established that a sequence of orthogonal polynomials on the unit circle can be characterized by a pair of real sequences $\{c_n\}_{n \geq 1}$ and $\{d_{n}\}_{n \geq 1}$, where the second sequence is also a positive chain sequence. This opened up a new line of investigation of the properties and applications of the assoc…

  Applications of functions satisfying certain recurrence relations, BP.DD

• Abstract

  We consider a class of functions satisfying a certain orthogonality property for which there also exists a three-term recurrence formula. This class of functions, which can be considered as an extension to the class of symmetric orthogonal polynomials on [-1,1], has a complete connection to orthogonal polynomials on the unit circle. Interpolators properties, quadrature rules and other pro…

  A class of orthogonal functions that satisfy a three-term recurrence formula, BP.IC

(Only some records are available in English at this moment)

• Abstract

  The research activities that we will involve while in Shanghai, during 29/10 to 26/11/2016, will have as principal objective to give continuity to the line of research work that we have been doing in colaboration with Prof. Andrei Martínez-Finkelshtein. Prof. Martínez-Finkelshtein is one of the leading specialist in our area of research as confirmed by his participation as editors of man…

  Orthogonal polynomials on the unit circle and related studies, BE.PQ