General Orthogonal Polynomials

Posted By : tot167 | Date : 20 May 2009 08:45:00 | Comments : 5 |

Herbert Stahl, Vilmos Totik, "General Orthogonal Polynomials"
Cambridge University Press | 1992 | ISBN: 0521415349 | 264 pages | Djvu | 1,8 MB

In this treatise, the authors present the general theory of orthogonal polynomials on the complex plane and several of its applications. The assumptions on the measure of orthogonality are general, the only restriction is that it has compact support on the complex plane. In the development of the theory the main emphasis is on asymptotic behavior and the distribution of zeros. In the first two chapters exact upper and lower bounds are given for the orthonormal polynomials and for the location of their zeros. The next three chapters deal with regular n-th root asymptotic behavior, which plays a key role both in the theory and in its applications. Orthogonal polynomials with this behavior correspond to classical orthogonal polynomials in the general case, and many extremal properties of measures in mathematical analysis and approximation theory with this type of regularity turn out to be equivalent. Several easy-to-use criteria are presented for regular behavior. The last chapter contains applications of the theory, including exact rates for convergence of rational interpolants, best rational approximants and non-diagonal Pade approximants to Markov functions (Cauchy transforms of measures). The results are based on potential theoretic methods, so both the methods and the results can be extended to extremal polynomials in norms other than L2 norms. A sketch of the theory of logarithmic potentials is given in an appendix.

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Posted By: Tayf Date: 20 May 2009 09:21:34
Your postings contains only paid ones

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Premium members can download any number of files simultaneously. Become a Premium member now. The download will be available shortly. ??That is NOT MY IP, uploading fabricates such false reports just to avoid the fact that IT REQUIRES PAID SUBSCRIPTION

So I request a rapidshare or other MIRROR to download from
Posted By: yacp1 Date: 20 May 2009 09:28:49
Yeah, Rapidshare is marvelous: after downloading a file you must wait 15 minutes. Please use megaupload or other nice links.
Posted By: tot167 Date: 20 May 2009 09:37:54
Megaupload link is provided as a third link! Be more attentive pls before requesting "MIRROR" which is always provided. And be more polite by downloading books for free because otherwise you have to pay for them 50 - 3000 USD on amazon ;)
Posted By: Tayf Date: 20 May 2009 10:25:27
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ifile.net, filefactory etc.
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Posted By: sparky2 Date: 20 May 2009 13:36:19
uploading.com is normally a reliable service. The spurious error message is more likely to be due to temporary technical problems. I am however in agreement over the desirability of more links.