Matches in SemOpenAlex for { <https://semopenalex.org/work/W2950338604> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W2950338604 abstract "For Jacobi matrices with a_n = 1+(-1)^n alpha n^{-gamma}, b_n = (-1)^n beta n^{-gamma}, we study bound states and the SzegHo condition. We provide a new proof of Nevai's result that if gamma > 1/2, the Szego condition holds, which works also if one replaces (-1)^n by cos(mu n). We show that if alpha = 0, beta not equal to 0, and gamma < 1/2, the Szego condition fails. We also show that if gamma = 1, alpha and beta are small enough (beta^2 + 8 alpha^2 < 1/24 will do), then the Jacobi matrix has finitely many bound states (for alpha = 0, beta large, it has infinitely many)." @default.
- W2950338604 created "2019-06-27" @default.
- W2950338604 creator A5037593876 @default.
- W2950338604 creator A5038838154 @default.
- W2950338604 creator A5067729747 @default.
- W2950338604 date "2002-08-25" @default.
- W2950338604 modified "2023-09-23" @default.
- W2950338604 title "Bound States and the Szego Condition for Jacobi Matrices and Schrodinger Operators" @default.
- W2950338604 cites W1484335179 @default.
- W2950338604 cites W1600977221 @default.
- W2950338604 cites W1786136980 @default.
- W2950338604 cites W1885293871 @default.
- W2950338604 cites W1974636696 @default.
- W2950338604 cites W1985804702 @default.
- W2950338604 cites W1994796792 @default.
- W2950338604 cites W2004981960 @default.
- W2950338604 cites W2012042823 @default.
- W2950338604 cites W2013524437 @default.
- W2950338604 cites W2013882025 @default.
- W2950338604 cites W2022271601 @default.
- W2950338604 cites W2054451762 @default.
- W2950338604 cites W2086622144 @default.
- W2950338604 cites W2149581417 @default.
- W2950338604 cites W2158614507 @default.
- W2950338604 cites W3021947329 @default.
- W2950338604 cites W3038165843 @default.
- W2950338604 cites W3095545559 @default.
- W2950338604 cites W5570479 @default.
- W2950338604 hasPublicationYear "2002" @default.
- W2950338604 type Work @default.
- W2950338604 sameAs 2950338604 @default.
- W2950338604 citedByCount "0" @default.
- W2950338604 crossrefType "posted-content" @default.
- W2950338604 hasAuthorship W2950338604A5037593876 @default.
- W2950338604 hasAuthorship W2950338604A5038838154 @default.
- W2950338604 hasAuthorship W2950338604A5067729747 @default.
- W2950338604 hasConcept C105795698 @default.
- W2950338604 hasConcept C106487976 @default.
- W2950338604 hasConcept C114614502 @default.
- W2950338604 hasConcept C134306372 @default.
- W2950338604 hasConcept C171606756 @default.
- W2950338604 hasConcept C185592680 @default.
- W2950338604 hasConcept C199360897 @default.
- W2950338604 hasConcept C2776174256 @default.
- W2950338604 hasConcept C33923547 @default.
- W2950338604 hasConcept C41008148 @default.
- W2950338604 hasConcept C43617362 @default.
- W2950338604 hasConcept C49453240 @default.
- W2950338604 hasConcept C64943373 @default.
- W2950338604 hasConcept C77553402 @default.
- W2950338604 hasConceptScore W2950338604C105795698 @default.
- W2950338604 hasConceptScore W2950338604C106487976 @default.
- W2950338604 hasConceptScore W2950338604C114614502 @default.
- W2950338604 hasConceptScore W2950338604C134306372 @default.
- W2950338604 hasConceptScore W2950338604C171606756 @default.
- W2950338604 hasConceptScore W2950338604C185592680 @default.
- W2950338604 hasConceptScore W2950338604C199360897 @default.
- W2950338604 hasConceptScore W2950338604C2776174256 @default.
- W2950338604 hasConceptScore W2950338604C33923547 @default.
- W2950338604 hasConceptScore W2950338604C41008148 @default.
- W2950338604 hasConceptScore W2950338604C43617362 @default.
- W2950338604 hasConceptScore W2950338604C49453240 @default.
- W2950338604 hasConceptScore W2950338604C64943373 @default.
- W2950338604 hasConceptScore W2950338604C77553402 @default.
- W2950338604 hasOpenAccess W2950338604 @default.
- W2950338604 hasRelatedWork W172408968 @default.
- W2950338604 hasRelatedWork W1934346967 @default.
- W2950338604 hasRelatedWork W1997465508 @default.
- W2950338604 hasRelatedWork W2166627155 @default.
- W2950338604 hasRelatedWork W2398572420 @default.
- W2950338604 hasRelatedWork W2607059208 @default.
- W2950338604 hasRelatedWork W2612419297 @default.
- W2950338604 hasRelatedWork W2753835611 @default.
- W2950338604 hasRelatedWork W2759792156 @default.
- W2950338604 hasRelatedWork W2891831093 @default.
- W2950338604 hasRelatedWork W2949308297 @default.
- W2950338604 hasRelatedWork W2950501646 @default.
- W2950338604 hasRelatedWork W2951169412 @default.
- W2950338604 hasRelatedWork W2953193831 @default.
- W2950338604 hasRelatedWork W2990560784 @default.
- W2950338604 hasRelatedWork W3010537803 @default.
- W2950338604 hasRelatedWork W3038057161 @default.
- W2950338604 hasRelatedWork W3093280471 @default.
- W2950338604 hasRelatedWork W3098254841 @default.
- W2950338604 hasRelatedWork W3098442253 @default.
- W2950338604 isParatext "false" @default.
- W2950338604 isRetracted "false" @default.
- W2950338604 magId "2950338604" @default.
- W2950338604 workType "article" @default.