Matches in SemOpenAlex for { <https://semopenalex.org/work/W2125753195> ?p ?o ?g. }
Showing items 1 to 97 of
97
with 100 items per page.
- W2125753195 abstract "This paper first shows that the Riemann localisation property holds for the Fourier-Laplace series partial sum for sufficiently smooth functions on the two-dimensional sphere, but does not hold for spheres of higher dimension. By Riemann localisation on the sphere $mathbb{S}^{d}subsetmathbb{R}^{d+1}$, $dge2$, we mean that for a suitable subset $X$ of $mathbb{L}_{p}(mathbb{S}^{d})$, $1le ple infty$, the $mathbb{L}_{p}$-norm of the Fourier local convolution of $fin X$ converges to zero as the degree goes to infinity. The Fourier local convolution of $f$ at $boldsymbol{x}inmathbb{S}^{d}$ is the Fourier convolution with a modified version of $f$ obtained by replacing values of $f$ by zero on a neighbourhood of $boldsymbol{x}$. The failure of Riemann localisation for $d>2$ can be overcome by considering a filtered version: we prove that for a sphere of any dimension and sufficiently smooth filter the corresponding local convolution always has the Riemann localisation property. Key tools are asymptotic estimates of the Fourier and filtered kernels." @default.
- W2125753195 created "2016-06-24" @default.
- W2125753195 creator A5049066971 @default.
- W2125753195 creator A5070236689 @default.
- W2125753195 creator A5075686837 @default.
- W2125753195 date "2015-10-23" @default.
- W2125753195 modified "2023-09-27" @default.
- W2125753195 title "Riemann localisation on the sphere" @default.
- W2125753195 cites W1977486037 @default.
- W2125753195 cites W1988154070 @default.
- W2125753195 cites W1998601294 @default.
- W2125753195 cites W2009340369 @default.
- W2125753195 cites W2027157254 @default.
- W2125753195 cites W2030829362 @default.
- W2125753195 cites W2036403319 @default.
- W2125753195 cites W2072513946 @default.
- W2125753195 cites W2077377982 @default.
- W2125753195 cites W2081718218 @default.
- W2125753195 cites W2089859072 @default.
- W2125753195 cites W2090320043 @default.
- W2125753195 cites W2326222383 @default.
- W2125753195 cites W2963947419 @default.
- W2125753195 hasPublicationYear "2015" @default.
- W2125753195 type Work @default.
- W2125753195 sameAs 2125753195 @default.
- W2125753195 citedByCount "0" @default.
- W2125753195 crossrefType "posted-content" @default.
- W2125753195 hasAuthorship W2125753195A5049066971 @default.
- W2125753195 hasAuthorship W2125753195A5070236689 @default.
- W2125753195 hasAuthorship W2125753195A5075686837 @default.
- W2125753195 hasConcept C102519508 @default.
- W2125753195 hasConcept C114614502 @default.
- W2125753195 hasConcept C119857082 @default.
- W2125753195 hasConcept C134306372 @default.
- W2125753195 hasConcept C138885662 @default.
- W2125753195 hasConcept C154483964 @default.
- W2125753195 hasConcept C17744445 @default.
- W2125753195 hasConcept C18556879 @default.
- W2125753195 hasConcept C191795146 @default.
- W2125753195 hasConcept C199479865 @default.
- W2125753195 hasConcept C199539241 @default.
- W2125753195 hasConcept C202444582 @default.
- W2125753195 hasConcept C207864730 @default.
- W2125753195 hasConcept C2780813799 @default.
- W2125753195 hasConcept C33676613 @default.
- W2125753195 hasConcept C33923547 @default.
- W2125753195 hasConcept C41008148 @default.
- W2125753195 hasConcept C41895202 @default.
- W2125753195 hasConcept C45347329 @default.
- W2125753195 hasConcept C50644808 @default.
- W2125753195 hasConceptScore W2125753195C102519508 @default.
- W2125753195 hasConceptScore W2125753195C114614502 @default.
- W2125753195 hasConceptScore W2125753195C119857082 @default.
- W2125753195 hasConceptScore W2125753195C134306372 @default.
- W2125753195 hasConceptScore W2125753195C138885662 @default.
- W2125753195 hasConceptScore W2125753195C154483964 @default.
- W2125753195 hasConceptScore W2125753195C17744445 @default.
- W2125753195 hasConceptScore W2125753195C18556879 @default.
- W2125753195 hasConceptScore W2125753195C191795146 @default.
- W2125753195 hasConceptScore W2125753195C199479865 @default.
- W2125753195 hasConceptScore W2125753195C199539241 @default.
- W2125753195 hasConceptScore W2125753195C202444582 @default.
- W2125753195 hasConceptScore W2125753195C207864730 @default.
- W2125753195 hasConceptScore W2125753195C2780813799 @default.
- W2125753195 hasConceptScore W2125753195C33676613 @default.
- W2125753195 hasConceptScore W2125753195C33923547 @default.
- W2125753195 hasConceptScore W2125753195C41008148 @default.
- W2125753195 hasConceptScore W2125753195C41895202 @default.
- W2125753195 hasConceptScore W2125753195C45347329 @default.
- W2125753195 hasConceptScore W2125753195C50644808 @default.
- W2125753195 hasLocation W21257531951 @default.
- W2125753195 hasOpenAccess W2125753195 @default.
- W2125753195 hasPrimaryLocation W21257531951 @default.
- W2125753195 hasRelatedWork W1529707245 @default.
- W2125753195 hasRelatedWork W2014250296 @default.
- W2125753195 hasRelatedWork W2023104208 @default.
- W2125753195 hasRelatedWork W2026409692 @default.
- W2125753195 hasRelatedWork W2044551895 @default.
- W2125753195 hasRelatedWork W2064607483 @default.
- W2125753195 hasRelatedWork W2082556318 @default.
- W2125753195 hasRelatedWork W2118684205 @default.
- W2125753195 hasRelatedWork W2121291915 @default.
- W2125753195 hasRelatedWork W2809540617 @default.
- W2125753195 hasRelatedWork W2944019126 @default.
- W2125753195 hasRelatedWork W2951051537 @default.
- W2125753195 hasRelatedWork W2962808872 @default.
- W2125753195 hasRelatedWork W2963848476 @default.
- W2125753195 hasRelatedWork W2973588081 @default.
- W2125753195 hasRelatedWork W3007186427 @default.
- W2125753195 hasRelatedWork W3012187933 @default.
- W2125753195 hasRelatedWork W3086250286 @default.
- W2125753195 hasRelatedWork W3101323235 @default.
- W2125753195 hasRelatedWork W78734723 @default.
- W2125753195 isParatext "false" @default.
- W2125753195 isRetracted "false" @default.
- W2125753195 magId "2125753195" @default.
- W2125753195 workType "article" @default.