The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Page 1

Displaying 1 – 12 of 12

Showing per page

Zero distributions via orthogonality

Laurent Baratchart, Reinhold Küstner, Vilmos Totik (2005)

Annales de l’institut Fourier

We develop a new method to prove asymptotic zero distribution for different kinds of orthogonal polynomials. The method directly uses the orthogonality relations. We illustrate the procedure in four cases: classical orthogonality, non-Hermitian orthogonality, orthogonality in rational approximation of Markov functions and its non- Hermitian variant.

Zygmund's program: some partial solutions

Alexander Stokolos (2005)

Annales de l’institut Fourier

We present a simple criterion to decide whether the maximal function associated with a translation invariant basis of multidimensional intervals satisfies a weak type ( 1 , 1 ) estimate. This allows us to complete Zygmund’s program of the description of the translation invariant bases of multidimensional intervals in the particular case of products of two cubic intervals. As a conjecture, we suggest a more precise version of Zygmund’s program.

Currently displaying 1 – 12 of 12

Page 1