Matches in SemOpenAlex for { <https://semopenalex.org/work/W2129355647> ?p ?o ?g. }
Showing items 1 to 71 of
71
with 100 items per page.
- W2129355647 abstract "This paper presents some results on a well-known problem in Algebraic Sig- nal Sampling and in other areas of applied mathematics: reconstruction of piecewise-smooth from their integral measurements (like moments, Fourier coefficients, Radon trans- form, etc.). Our results concern reconstruction (from the moments or Fourier coefficients) of signals in two specific classes: linear combinations of shifts of a given function, and piecewise D-finite functions which satisfy on each continuity interval a linear differential equation with polynomial coefficients. In each case the problem is reduced to a solution of a certain type of non-linear algebraic system of equations (Prony-type system). We recall some known methods for explicitly solving such systems in one variable, and provide extensions to some multi-dimensional cases. Finally, we investigate the local stability of solving the Prony-type systems." @default.
- W2129355647 created "2016-06-24" @default.
- W2129355647 creator A5052491254 @default.
- W2129355647 creator A5056879060 @default.
- W2129355647 creator A5083538898 @default.
- W2129355647 date "2009-05-18" @default.
- W2129355647 modified "2023-09-27" @default.
- W2129355647 title "An “algebraic” reconstruction of piecewise-smooth functions from integral measurements" @default.
- W2129355647 cites W123388844 @default.
- W2129355647 cites W1715895200 @default.
- W2129355647 cites W1979865923 @default.
- W2129355647 cites W2018189982 @default.
- W2129355647 cites W2041786636 @default.
- W2129355647 cites W2050668488 @default.
- W2129355647 cites W2054640515 @default.
- W2129355647 cites W2062227017 @default.
- W2129355647 cites W2099267803 @default.
- W2129355647 cites W2100257039 @default.
- W2129355647 cites W2103300762 @default.
- W2129355647 cites W2118203826 @default.
- W2129355647 cites W2135631911 @default.
- W2129355647 cites W2137003322 @default.
- W2129355647 cites W2296616510 @default.
- W2129355647 cites W2323143735 @default.
- W2129355647 cites W563024366 @default.
- W2129355647 cites W592374772 @default.
- W2129355647 hasPublicationYear "2009" @default.
- W2129355647 type Work @default.
- W2129355647 sameAs 2129355647 @default.
- W2129355647 citedByCount "7" @default.
- W2129355647 countsByYear W21293556472012 @default.
- W2129355647 countsByYear W21293556472013 @default.
- W2129355647 countsByYear W21293556472014 @default.
- W2129355647 countsByYear W21293556472016 @default.
- W2129355647 crossrefType "proceedings-article" @default.
- W2129355647 hasAuthorship W2129355647A5052491254 @default.
- W2129355647 hasAuthorship W2129355647A5056879060 @default.
- W2129355647 hasAuthorship W2129355647A5083538898 @default.
- W2129355647 hasBestOaLocation W21293556471 @default.
- W2129355647 hasConcept C134306372 @default.
- W2129355647 hasConcept C136119220 @default.
- W2129355647 hasConcept C164660894 @default.
- W2129355647 hasConcept C202444582 @default.
- W2129355647 hasConcept C28826006 @default.
- W2129355647 hasConcept C33923547 @default.
- W2129355647 hasConcept C9376300 @default.
- W2129355647 hasConceptScore W2129355647C134306372 @default.
- W2129355647 hasConceptScore W2129355647C136119220 @default.
- W2129355647 hasConceptScore W2129355647C164660894 @default.
- W2129355647 hasConceptScore W2129355647C202444582 @default.
- W2129355647 hasConceptScore W2129355647C28826006 @default.
- W2129355647 hasConceptScore W2129355647C33923547 @default.
- W2129355647 hasConceptScore W2129355647C9376300 @default.
- W2129355647 hasLocation W21293556471 @default.
- W2129355647 hasLocation W21293556472 @default.
- W2129355647 hasOpenAccess W2129355647 @default.
- W2129355647 hasPrimaryLocation W21293556471 @default.
- W2129355647 hasRelatedWork W1965735585 @default.
- W2129355647 hasRelatedWork W1968390457 @default.
- W2129355647 hasRelatedWork W2009757463 @default.
- W2129355647 hasRelatedWork W2049021870 @default.
- W2129355647 hasRelatedWork W2067595175 @default.
- W2129355647 hasRelatedWork W2179551630 @default.
- W2129355647 hasRelatedWork W2582675342 @default.
- W2129355647 hasRelatedWork W2603499936 @default.
- W2129355647 hasRelatedWork W3205753110 @default.
- W2129355647 hasRelatedWork W4232993046 @default.
- W2129355647 isParatext "false" @default.
- W2129355647 isRetracted "false" @default.
- W2129355647 magId "2129355647" @default.
- W2129355647 workType "article" @default.