Matches in SemOpenAlex for { <https://semopenalex.org/work/W1865567636> ?p ?o ?g. }
Showing items 1 to 89 of
89
with 100 items per page.
- W1865567636 abstract "We present constructive solutions to the following Polya-Schur problems concerning linear operators on the space of univariate polynomials: Given subsets $Omega_1$ and $Omega_2$ of the complex plane, determine operators that map all polynomials having no zeros in $Omega_1$ to polynomials having no zeros in $Omega_2$, or to the zero polynomial. We describe an explicit class consisting of rank 1 operators and product-composition operators that solve the stated problems for arbitrary $Omega_1$ and $Omega_2$; and this class is shown to comprise all solutions when $Omega_1$ is bounded and $Omega_2$ has non-empty interior. The latter result encompasses a number of open problems and, moreover, gives explicit solutions in cases of circular domains $Omega_1=Omega_2$ where existing characterizations are non-constructive. The paper also treats problems stemming from digital signal processing that are analogous to Polya-Schur problems. Specifically, we describe all bounded linear operators on Hardy space that preserve the class of outer functions, as well as those that preserve shifted outer functions." @default.
- W1865567636 created "2016-06-24" @default.
- W1865567636 creator A5035194938 @default.
- W1865567636 creator A5071767758 @default.
- W1865567636 date "2011-07-30" @default.
- W1865567636 modified "2023-09-27" @default.
- W1865567636 title "Constructive solutions to P'olya-Schur problems" @default.
- W1865567636 cites W2057625605 @default.
- W1865567636 cites W2118082066 @default.
- W1865567636 cites W2798922842 @default.
- W1865567636 cites W2963034993 @default.
- W1865567636 cites W2963409766 @default.
- W1865567636 cites W3103704874 @default.
- W1865567636 hasPublicationYear "2011" @default.
- W1865567636 type Work @default.
- W1865567636 sameAs 1865567636 @default.
- W1865567636 citedByCount "3" @default.
- W1865567636 countsByYear W18655676362012 @default.
- W1865567636 countsByYear W18655676362015 @default.
- W1865567636 crossrefType "posted-content" @default.
- W1865567636 hasAuthorship W1865567636A5035194938 @default.
- W1865567636 hasAuthorship W1865567636A5071767758 @default.
- W1865567636 hasConcept C111919701 @default.
- W1865567636 hasConcept C114614502 @default.
- W1865567636 hasConcept C118615104 @default.
- W1865567636 hasConcept C121332964 @default.
- W1865567636 hasConcept C134306372 @default.
- W1865567636 hasConcept C138885662 @default.
- W1865567636 hasConcept C154945302 @default.
- W1865567636 hasConcept C164226766 @default.
- W1865567636 hasConcept C202444582 @default.
- W1865567636 hasConcept C2777212361 @default.
- W1865567636 hasConcept C2778572836 @default.
- W1865567636 hasConcept C2778701210 @default.
- W1865567636 hasConcept C2779557605 @default.
- W1865567636 hasConcept C33923547 @default.
- W1865567636 hasConcept C34388435 @default.
- W1865567636 hasConcept C41008148 @default.
- W1865567636 hasConcept C41895202 @default.
- W1865567636 hasConcept C62520636 @default.
- W1865567636 hasConcept C90119067 @default.
- W1865567636 hasConcept C98045186 @default.
- W1865567636 hasConceptScore W1865567636C111919701 @default.
- W1865567636 hasConceptScore W1865567636C114614502 @default.
- W1865567636 hasConceptScore W1865567636C118615104 @default.
- W1865567636 hasConceptScore W1865567636C121332964 @default.
- W1865567636 hasConceptScore W1865567636C134306372 @default.
- W1865567636 hasConceptScore W1865567636C138885662 @default.
- W1865567636 hasConceptScore W1865567636C154945302 @default.
- W1865567636 hasConceptScore W1865567636C164226766 @default.
- W1865567636 hasConceptScore W1865567636C202444582 @default.
- W1865567636 hasConceptScore W1865567636C2777212361 @default.
- W1865567636 hasConceptScore W1865567636C2778572836 @default.
- W1865567636 hasConceptScore W1865567636C2778701210 @default.
- W1865567636 hasConceptScore W1865567636C2779557605 @default.
- W1865567636 hasConceptScore W1865567636C33923547 @default.
- W1865567636 hasConceptScore W1865567636C34388435 @default.
- W1865567636 hasConceptScore W1865567636C41008148 @default.
- W1865567636 hasConceptScore W1865567636C41895202 @default.
- W1865567636 hasConceptScore W1865567636C62520636 @default.
- W1865567636 hasConceptScore W1865567636C90119067 @default.
- W1865567636 hasConceptScore W1865567636C98045186 @default.
- W1865567636 hasLocation W18655676361 @default.
- W1865567636 hasOpenAccess W1865567636 @default.
- W1865567636 hasPrimaryLocation W18655676361 @default.
- W1865567636 hasRelatedWork W1999222888 @default.
- W1865567636 hasRelatedWork W2003066593 @default.
- W1865567636 hasRelatedWork W2034650889 @default.
- W1865567636 hasRelatedWork W2065511422 @default.
- W1865567636 hasRelatedWork W2081098999 @default.
- W1865567636 hasRelatedWork W2101158559 @default.
- W1865567636 hasRelatedWork W2134895325 @default.
- W1865567636 hasRelatedWork W224524243 @default.
- W1865567636 hasRelatedWork W2292239866 @default.
- W1865567636 hasRelatedWork W2344614906 @default.
- W1865567636 hasRelatedWork W2422068744 @default.
- W1865567636 hasRelatedWork W2507640567 @default.
- W1865567636 hasRelatedWork W2523789112 @default.
- W1865567636 hasRelatedWork W2757734089 @default.
- W1865567636 hasRelatedWork W2950298480 @default.
- W1865567636 hasRelatedWork W2950926443 @default.
- W1865567636 hasRelatedWork W2952153428 @default.
- W1865567636 hasRelatedWork W3101380633 @default.
- W1865567636 hasRelatedWork W3151428766 @default.
- W1865567636 hasRelatedWork W3200050956 @default.
- W1865567636 isParatext "false" @default.
- W1865567636 isRetracted "false" @default.
- W1865567636 magId "1865567636" @default.
- W1865567636 workType "article" @default.