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Spectral properties of Jacobi matrices by asymptotic analysis

✍ Scribed by Jan Janas; Marcin Moszyński

Book ID
118532014
Publisher
Elsevier Science
Year
2003
Tongue
English
Weight
283 KB
Volume
120
Category
Article
ISSN
0021-9045

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The asymptotical spectrum of Jacobi matr
The asymptotical spectrum of Jacobi matrices
✍ Jesus Sánchez-Dehesa 📂 Article 📅 1977 🏛 Elsevier Science 🌐 English ⚖ 351 KB

A method to calculate the asymptotical eigenvalue density (asymptotical density of zeros) p (x) of Jacobi matrices (orthogonal polynomials) in terms of its moments is presented. This method does not require the convergence of continued fractions and inversion of functional transformations as previou