Matches in SemOpenAlex for { <https://semopenalex.org/work/W4385261311> ?p ?o ?g. }
Showing items 1 to 85 of
85
with 100 items per page.
- W4385261311 abstract "We offer a detailed treatment of spectral and Weyl-Titchmarsh-Kodaira theory for all self-adjoint Jacobi operator realizations of the differential expression begin{align*} tau_{alpha,beta} = - (1-x)^{-alpha} (1+x)^{-beta}(d/dx) big((1-x)^{alpha+1}(1+x)^{beta+1}big) (d/dx),& alpha, beta in mathbb{R}, ; x in (-1,1),& end{align*} in $L^2big((-1,1); (1-x)^{alpha} (1+x)^{beta} dxbig)$, $alpha, beta in mathbb{R}$. In addition to discussing the separated boundary conditions that lead to Jacobi orthogonal polynomials as eigenfunctions in detail, we exhaustively treat the case of coupled boundary conditions and illustrate the latter with the help of the general $eta$-periodic and Krein--von Neumann extensions. In particular, we treat all underlying Weyl-Titchmarsh-Kodaira and Green's function induced $m$-functions and revisit their Nevanlinna-Herglotz property. We also consider connections to other differential operators associated with orthogonal polynomials such as Laguerre, Gegenbauer, and Chebyshev." @default.
- W4385261311 created "2023-07-26" @default.
- W4385261311 creator A5003879328 @default.
- W4385261311 creator A5003895157 @default.
- W4385261311 creator A5004675602 @default.
- W4385261311 creator A5053434924 @default.
- W4385261311 date "2023-07-22" @default.
- W4385261311 modified "2023-10-14" @default.
- W4385261311 title "The Jacobi operator on $(-1,1)$ and its various $m$-functions" @default.
- W4385261311 doi "https://doi.org/10.48550/arxiv.2307.12164" @default.
- W4385261311 hasPublicationYear "2023" @default.
- W4385261311 type Work @default.
- W4385261311 citedByCount "0" @default.
- W4385261311 crossrefType "posted-content" @default.
- W4385261311 hasAuthorship W4385261311A5003879328 @default.
- W4385261311 hasAuthorship W4385261311A5003895157 @default.
- W4385261311 hasAuthorship W4385261311A5004675602 @default.
- W4385261311 hasAuthorship W4385261311A5053434924 @default.
- W4385261311 hasBestOaLocation W43852613111 @default.
- W4385261311 hasConcept C104317684 @default.
- W4385261311 hasConcept C10628310 @default.
- W4385261311 hasConcept C108408018 @default.
- W4385261311 hasConcept C114614502 @default.
- W4385261311 hasConcept C121332964 @default.
- W4385261311 hasConcept C128803854 @default.
- W4385261311 hasConcept C129785596 @default.
- W4385261311 hasConcept C134306372 @default.
- W4385261311 hasConcept C158448853 @default.
- W4385261311 hasConcept C158693339 @default.
- W4385261311 hasConcept C17020691 @default.
- W4385261311 hasConcept C182310444 @default.
- W4385261311 hasConcept C185592680 @default.
- W4385261311 hasConcept C199360897 @default.
- W4385261311 hasConcept C202444582 @default.
- W4385261311 hasConcept C2776174256 @default.
- W4385261311 hasConcept C33923547 @default.
- W4385261311 hasConcept C37914503 @default.
- W4385261311 hasConcept C41008148 @default.
- W4385261311 hasConcept C48490523 @default.
- W4385261311 hasConcept C55493867 @default.
- W4385261311 hasConcept C62354387 @default.
- W4385261311 hasConcept C62520636 @default.
- W4385261311 hasConcept C70915906 @default.
- W4385261311 hasConcept C86339819 @default.
- W4385261311 hasConceptScore W4385261311C104317684 @default.
- W4385261311 hasConceptScore W4385261311C10628310 @default.
- W4385261311 hasConceptScore W4385261311C108408018 @default.
- W4385261311 hasConceptScore W4385261311C114614502 @default.
- W4385261311 hasConceptScore W4385261311C121332964 @default.
- W4385261311 hasConceptScore W4385261311C128803854 @default.
- W4385261311 hasConceptScore W4385261311C129785596 @default.
- W4385261311 hasConceptScore W4385261311C134306372 @default.
- W4385261311 hasConceptScore W4385261311C158448853 @default.
- W4385261311 hasConceptScore W4385261311C158693339 @default.
- W4385261311 hasConceptScore W4385261311C17020691 @default.
- W4385261311 hasConceptScore W4385261311C182310444 @default.
- W4385261311 hasConceptScore W4385261311C185592680 @default.
- W4385261311 hasConceptScore W4385261311C199360897 @default.
- W4385261311 hasConceptScore W4385261311C202444582 @default.
- W4385261311 hasConceptScore W4385261311C2776174256 @default.
- W4385261311 hasConceptScore W4385261311C33923547 @default.
- W4385261311 hasConceptScore W4385261311C37914503 @default.
- W4385261311 hasConceptScore W4385261311C41008148 @default.
- W4385261311 hasConceptScore W4385261311C48490523 @default.
- W4385261311 hasConceptScore W4385261311C55493867 @default.
- W4385261311 hasConceptScore W4385261311C62354387 @default.
- W4385261311 hasConceptScore W4385261311C62520636 @default.
- W4385261311 hasConceptScore W4385261311C70915906 @default.
- W4385261311 hasConceptScore W4385261311C86339819 @default.
- W4385261311 hasLocation W43852613111 @default.
- W4385261311 hasOpenAccess W4385261311 @default.
- W4385261311 hasPrimaryLocation W43852613111 @default.
- W4385261311 hasRelatedWork W135804711 @default.
- W4385261311 hasRelatedWork W1996752554 @default.
- W4385261311 hasRelatedWork W2489863694 @default.
- W4385261311 hasRelatedWork W2953384666 @default.
- W4385261311 hasRelatedWork W3100954931 @default.
- W4385261311 hasRelatedWork W3105011789 @default.
- W4385261311 hasRelatedWork W3200189796 @default.
- W4385261311 hasRelatedWork W3210665573 @default.
- W4385261311 hasRelatedWork W4241128055 @default.
- W4385261311 hasRelatedWork W4287597771 @default.
- W4385261311 isParatext "false" @default.
- W4385261311 isRetracted "false" @default.
- W4385261311 workType "article" @default.