Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288365655> ?p ?o ?g. }
Showing items 1 to 69 of
69
with 100 items per page.
- W4288365655 abstract "Symmetry problems in harmonic analysis are formulated and solved. One of these problems is equivalent to the refined Schiffer's conjecture which was recently proved by the author. Let $k=const>0$ be fixed, $S^2$ be the unit sphere in $mathbb{R}^3$, $D$ be a connected bounded domain with $C^2-$smooth boundary $S$, $j_0(r)$ be the spherical Bessel function. The harmonic analysis symmetry problems are stated in the following theorems: {bf Theorem A.} {em Assume that $int_S e^{ikbeta cdot s}ds=0$ for all $betain S^2$. Then $S$ is a sphere of radius $a$, where $j_0(ka)=0$. } {bf Theorem B.} {em Assume that $int_D e^{ikbeta cdot x}dx=0$ for all $betain S^2$. Then $D$ is a ball." @default.
- W4288365655 created "2022-07-29" @default.
- W4288365655 creator A5015022515 @default.
- W4288365655 date "2019-04-21" @default.
- W4288365655 modified "2023-09-24" @default.
- W4288365655 title "Symmetry problems in harmonic analysis" @default.
- W4288365655 doi "https://doi.org/10.48550/arxiv.1904.11363" @default.
- W4288365655 hasPublicationYear "2019" @default.
- W4288365655 type Work @default.
- W4288365655 citedByCount "0" @default.
- W4288365655 crossrefType "posted-content" @default.
- W4288365655 hasAuthorship W4288365655A5015022515 @default.
- W4288365655 hasBestOaLocation W42883656551 @default.
- W4288365655 hasConcept C107706756 @default.
- W4288365655 hasConcept C114614502 @default.
- W4288365655 hasConcept C121332964 @default.
- W4288365655 hasConcept C122041747 @default.
- W4288365655 hasConcept C134306372 @default.
- W4288365655 hasConcept C178635117 @default.
- W4288365655 hasConcept C191948623 @default.
- W4288365655 hasConcept C199360897 @default.
- W4288365655 hasConcept C2524010 @default.
- W4288365655 hasConcept C2776174256 @default.
- W4288365655 hasConcept C2779886137 @default.
- W4288365655 hasConcept C2780990831 @default.
- W4288365655 hasConcept C33923547 @default.
- W4288365655 hasConcept C34388435 @default.
- W4288365655 hasConcept C36503486 @default.
- W4288365655 hasConcept C37914503 @default.
- W4288365655 hasConcept C38652104 @default.
- W4288365655 hasConcept C41008148 @default.
- W4288365655 hasConcept C627467 @default.
- W4288365655 hasConcept C64089718 @default.
- W4288365655 hasConceptScore W4288365655C107706756 @default.
- W4288365655 hasConceptScore W4288365655C114614502 @default.
- W4288365655 hasConceptScore W4288365655C121332964 @default.
- W4288365655 hasConceptScore W4288365655C122041747 @default.
- W4288365655 hasConceptScore W4288365655C134306372 @default.
- W4288365655 hasConceptScore W4288365655C178635117 @default.
- W4288365655 hasConceptScore W4288365655C191948623 @default.
- W4288365655 hasConceptScore W4288365655C199360897 @default.
- W4288365655 hasConceptScore W4288365655C2524010 @default.
- W4288365655 hasConceptScore W4288365655C2776174256 @default.
- W4288365655 hasConceptScore W4288365655C2779886137 @default.
- W4288365655 hasConceptScore W4288365655C2780990831 @default.
- W4288365655 hasConceptScore W4288365655C33923547 @default.
- W4288365655 hasConceptScore W4288365655C34388435 @default.
- W4288365655 hasConceptScore W4288365655C36503486 @default.
- W4288365655 hasConceptScore W4288365655C37914503 @default.
- W4288365655 hasConceptScore W4288365655C38652104 @default.
- W4288365655 hasConceptScore W4288365655C41008148 @default.
- W4288365655 hasConceptScore W4288365655C627467 @default.
- W4288365655 hasConceptScore W4288365655C64089718 @default.
- W4288365655 hasLocation W42883656551 @default.
- W4288365655 hasOpenAccess W4288365655 @default.
- W4288365655 hasPrimaryLocation W42883656551 @default.
- W4288365655 hasRelatedWork W2062668667 @default.
- W4288365655 hasRelatedWork W2119232416 @default.
- W4288365655 hasRelatedWork W2138816443 @default.
- W4288365655 hasRelatedWork W2238081044 @default.
- W4288365655 hasRelatedWork W2339796632 @default.
- W4288365655 hasRelatedWork W2346853182 @default.
- W4288365655 hasRelatedWork W2474682948 @default.
- W4288365655 hasRelatedWork W2543869578 @default.
- W4288365655 hasRelatedWork W2940498637 @default.
- W4288365655 hasRelatedWork W2952893691 @default.
- W4288365655 isParatext "false" @default.
- W4288365655 isRetracted "false" @default.
- W4288365655 workType "article" @default.