The Szegő condition for Coulomb Jacobi matrices

✍ Scribed by Andrej Zlatoš

• Publisher: Elsevier Science
• Year: 2003
• Tongue: English
• Weight: 280 KB
• Volume: 121
• Category: Article
• ISSN: 0021-9045
• DOI: 10.1016/s0021-9045(02)00046-1

✦ Synopsis

A Jacobi matrix with a n -1; b n -0 and spectral measure n 0 ðxÞ dx þ dn sing ðxÞ satisfies the Szeg + o condition if Z p 0 ln½n 0 ð2 cos yÞ dy is finite. We prove that if