0000000000285009

AUTHOR

Alexander Hertle

showing 7 related works from this author

Continuity of the radon transform and its inverse on Euclidean space

1983

Local singularityRadon transformEuclidean spaceGeneral MathematicsMathematical analysisInverseFourier integral operatorMathematicsMathematische Zeitschrift
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Gaussian surface measures and the radon transform on separable banach spaces

1980

Pure mathematicssymbols.namesakeRadon transformBanach spaceGaussian surfacesymbolsBanach manifoldConditional expectationMathematicsSeparable space
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The Bochner and Riesz integral representations for the Radon transform

1984

Riesz transformRadon transformGeneral MathematicsMathematical analysisTwo-sided Laplace transformSingular integralMathematicsArchiv der Mathematik
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On the Problem of Well-Posedness for the Radon Transform

1981

In this note, we first discuss some continuity and discontinuity properties of the inverse Radon transform (R.t.). Any such property gives a positive (or negative) answer to the question, whether under certain contitions the problem of inverting the R.t. is well-posed.

Discontinuity (linguistics)Property (philosophy)Inverse radonRadon transformUniform convergenceMathematical analysisSingular measureWell posednessMathematics
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Gaussian plane and spherical means in separable Hilbert spaces

1982

symbols.namesakeHilbert manifoldCovariance operatorHilbert R-treePlane (geometry)GaussianRadon measureMathematical analysisHilbert spacesymbolsMathematicsSeparable space
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On the asymptotic behaviour of gaussian spherical integrals

1983

symbols.namesakeAsymptotic analysisSlater integralsGaussianMathematical analysissymbolsAsymptotic expansionGaussian measureSeparable hilbert spaceMathematicsGaussian random field
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On the range of the radon transform and its dual

1984

OpticsRadon transformbusiness.industryGeneral MathematicsRange (statistics)businessMathematicsDual (category theory)Mathematische Annalen
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