0000000000360040

AUTHOR

Giuseppa Riccobono

showing 5 related works from this author

A PU-integral on a compact Hausdorff space.

2002

misura su spazi astrattiintegraleSettore MAT/05 - Analisi Matematica
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Multiplicity results for Sturm-Liouville boundary value problems

2009

Multiplicity results for Sturm-Liouville boundary value problems are obtained. Proofs are based on variational methods.

Partial differential equationSturm-Liouville problem variational methodsApplied MathematicsNumerical analysisMultiplicity resultsMathematical analysisSturm–Liouville theoryMixed boundary conditionMathematics::Spectral TheoryMathematical proofCritical point (mathematics)Computational MathematicsSettore MAT/05 - Analisi MatematicaBoundary value problemMathematics
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An integral for a banach valued function

2009

Abstract Using partitions of the unity ((PU)-partition), a new definition of an integral is given for a function f : [a, b] → X, where X is a Banach space, and it is proved that this integral is equivalent to the Bochner integral.

Discrete mathematicsBanach valued function (PU)-partition (PU)*-integral Bochner-integralGeneral MathematicsInfinite-dimensional vector functionBochner integralRiemann–Stieltjes integralRiemann integralBochner spaceExponential integralsymbols.namesakeSettore MAT/05 - Analisi MatematicasymbolsPaley–Wiener integralDaniell integralMathematicsTatra Mountains Mathematical Publications
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A PU-integral on an abstract metric space.

1997

Metric spacePure mathematicsSettore MAT/05 - Analisi MatematicaGeneral Mathematicsintegralespazi astrattiMathematics
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A Riemann-Type Integral on a Measure Space

2005

In a compact Hausdorff measure space we define an integral by partitions of the unity and prove that it is nonabsolutely convergent.

Lebesgue measureMathematical analysisMeasure (physics)Mathematics::General Topologypartition of unityRiemann integralRiemann–Stieltjes integralLebesgue integration$PU^*$-integralsymbols.namesakeTransverse measureDifferentiation of integralssymbolsGeometry and TopologyDaniell integral28A25Borel measureAnalysisMathematicsReal Analysis Exchange
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