Search results for "composition"

showing 10 items of 2675 documents

Numerical Kodaira Dimension

2014

In this chapter we study, following [30] , the first properties of the Zariski decomposition of the cotangent bundle of a nonrational foliation. In particular, we shall give a detailed description of the negative part of that Zariski decomposition, and we shall obtain a detailed classification of foliations whose Zariski decomposition is reduced to its negative part (i.e. foliations of numerical Kodaira dimension 0). We shall also discuss the “singular” point of view adopted in [30].

Pure mathematicsMathematics::Algebraic GeometryFoliation (geology)Decomposition (computer science)Cotangent bundleKodaira dimensionPoint (geometry)Mathematics::Symplectic GeometryMathematics
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Königs eigenfunction for composition operators on Bloch and H∞ type spaces

2017

Abstract We discuss when the Konigs eigenfunction associated with a non-automorphic selfmap of the complex unit disc that fixes the origin belongs to Banach spaces of holomorphic functions of Bloch and H ∞ type. In the latter case, our characterization answers a question of P. Bourdon. Some spectral properties of composition operators on H ∞ for unbounded Konigs eigenfunction are obtained.

Pure mathematicsMathematics::Complex VariablesComposition operatorApplied Mathematics010102 general mathematicsMathematical analysisBanach spaceHolomorphic functionComposition (combinatorics)EigenfunctionType (model theory)Characterization (mathematics)01 natural sciences010101 applied mathematicsComputer Science::Discrete Mathematics0101 mathematicsUnit (ring theory)AnalysisMathematicsJournal of Mathematical Analysis and Applications
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On $p$-Dunford integrable functions with values in Banach spaces

2018

[EN] Let (Omega, Sigma, mu) be a complete probability space, X a Banach space and 1 X. Special attention is paid to the compactness of the Dunford operator of f. We also study the p-Bochner integrability of the composition u o f: Omega->Y , where u is a p-summing operator from X to another Banach space Y . Finally, we also provide some tests of p-Dunford integrability by using w*-thick subsets of X¿.

Pure mathematicsMathematics::Functional AnalysisIntegrable systemApplied MathematicsOperator (physics)010102 general mathematicsP-Summing operatorw*-Thick setBanach space28B05 46G10Composition (combinatorics)01 natural sciencesP-Pettis integrable functionFunctional Analysis (math.FA)Mathematics - Functional Analysis010101 applied mathematicsDunford operatorCompact spaceProbability spaceP-Dunford integrable functionFOS: Mathematics0101 mathematicsMATEMATICA APLICADAAnalysisMathematics
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Decomposition numbers and local properties

2020

Abstract If G is a finite group and p is a prime, we give evidence that the p-decomposition matrix encodes properties of p-Sylow normalizers.

Pure mathematicsMatrix (mathematics)Finite groupAlgebra and Number TheoryCharacter table010102 general mathematics0103 physical sciencesDecomposition (computer science)010307 mathematical physics0101 mathematics01 natural sciencesPrime (order theory)MathematicsJournal of Algebra
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On defects of characters and decomposition numbers

2017

We propose upper bounds for the number of modular constituents of the restriction modulo [math] of a complex irreducible character of a finite group, and for its decomposition numbers, in certain cases.

Pure mathematicsModulodefect of charactersGroup Theory (math.GR)01 natural sciences0103 physical sciencesComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATIONDecomposition (computer science)FOS: Mathematics0101 mathematicsRepresentation Theory (math.RT)Mathematics20C20Finite groupAlgebra and Number Theorybusiness.industry010102 general mathematicsModular design20C20 20C33Character (mathematics)heights of charactersdecomposition numbers20C33010307 mathematical physicsbusinessMathematics - Group TheoryMathematics - Representation Theory
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OMA: From Research to Engineering Applications

2021

Ambient vibration modal identification, also known as Operational Modal Analysis (OMA), aims to identify the modal properties of a structure based on vibration data collected when the structure is under its operating conditions, i.e., when there is no initial excitation or known artificial excitation. This method for testing and/or monitoring historical buildings and civil structures, is particularly attractive for civil engineers concerned with the safety of complex historical structures. However, in practice, not only records of external force are missing, but uncertainties are involved to a significant extent. Hence, stochastic mechanics approaches are needed in combination with the iden…

Pure mathematicsOrder (ring theory)Context (language use)Operational modal analysisCorrelation function (quantum field theory)Hilbert transformsymbols.namesakeMatrix (mathematics)Operational Modal AnalysisCorrelation functionSingular value decompositionsymbolsModal matrixAnalytical signalHilbert transformSettore ICAR/08 - Scienza Delle CostruzioniStructural identificationMathematics
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A C0-Semigroup of Ulam Unstable Operators

2020

The Ulam stability of the composition of two Ulam stable operators has been investigated by several authors. Composition of operators is a key concept when speaking about C0-semigroups. Examples of C0-semigroups formed with Ulam stable operators are known. In this paper, we construct a C0-semigroup (Rt)t&ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsMathematicsofComputing_GENERAL02 engineering and technology01 natural sciencesStability (probability)Domain (mathematical analysis)Chebyshev expansion0103 physical sciencescomposition of operatorsData_FILES0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Infinitesimal generatorC0-semigroupNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional Analysis010308 nuclear & particles physicsSemigroupMathematics::Operator Algebraslcsh:MathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Chebyshev expansion020201 artificial intelligence & image processingSymmetry
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Ulam Stability for the Composition of Operators

2020

Working in the setting of Banach spaces, we give a simpler proof of a result concerning the Ulam stability of the composition of operators. Several applications are provided. Then, we give an example of a discrete semigroup with Ulam unstable members and an example of Ulam stable operators on a Banach space, such that their sum is not Ulam stable. Another example is concerned with a C 0 -semigroup ( T t ) t &ge

Pure mathematicsPhysics and Astronomy (miscellaneous)General MathematicsOpen problemBanach space02 engineering and technology01 natural sciencesStability (probability)closed linear subspacescomposition of operators0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)0101 mathematicsNonlinear Sciences::Pattern Formation and SolitonsMathematicsMathematics::Functional AnalysisSemigrouplcsh:Mathematics010102 general mathematicsUlam stabilityComposition (combinatorics)lcsh:QA1-939Nonlinear Sciences::Chaotic Dynamics<i>C</i><sub>0</sub>-semigroupsTheoryofComputation_MATHEMATICALLOGICANDFORMALLANGUAGESChemistry (miscellaneous)Computer Science::Programming Languages020201 artificial intelligence & image processingSymmetry
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Bridges, channels and Arnold's invariants for generic plane curves

2002

Abstract We define sums of plane curves that generalize the idea of connected sum and show how Arnol'd's invariants behave with respect to them. We also consider the inverse process of decomposition of a curve and as an application, obtain a new method that reduces considerably the amounts of computation involved in the calculation of Arnold's invariants.

Pure mathematicsPlane curveComputationProcess (computing)InverseSumsConnected sumCombinatoricsIsotopy invariantsDecomposition (computer science)Geometry and TopologyDecompositionsStable closed curvesMathematicsTopology and its Applications
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Decompositions of Weakly Compact Valued Integrable Multifunctions

2020

We give a short overview on the decomposition property for integrable multifunctions, i.e., when an &ldquo

Pure mathematicsProperty (philosophy)Integrable systemGeneral MathematicsPhysics::Medical PhysicsMathematics::Optimization and ControlBanach space02 engineering and technologyCharacterization (mathematics)Translation (geometry)01 natural sciencesSeparable spaceSettore MAT/05 - Analisi Matematica0202 electrical engineering electronic engineering information engineeringComputer Science (miscellaneous)Decomposition (computer science)0101 mathematicsEngineering (miscellaneous)MathematicsMathematics::Functional Analysislcsh:Mathematics010102 general mathematicsRegular polygonGauge multivalued integrallcsh:QA1-939scalarly defined multivalued integralComputer Science::Otherdecomposition of a multifunction020201 artificial intelligence & image processing
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