Search results for "Hilbert R-tree"

showing 3 items of 3 documents

Inversion Formulas for the Discretized Hilbert Transform on the Unit Circle

1998

A discrete version of the Hilbert transform on the unit circle is considered. Its Moore--Penrose inverse with respect to suitable scalar products is derived for different side conditions. Furthermore, stability of the pseudo-inverse is studied. These results allow the efficient computation of approximate solutions of singular integral equations with Hilbert kernel. Furthermore, the stability analysis of such methods becomes much easier even for graded meshes which are useful for weakly singular solutions.

Numerical AnalysisHilbert manifoldDiscretizationHilbert R-treeApplied MathematicsMathematical analysisSingular integralHilbert–Huang transformComputational Mathematicssymbols.namesakeUnit circlesymbolsHilbert transformMoore–Penrose pseudoinverseMathematicsSIAM Journal on Numerical Analysis
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Some results about operators in nested Hilbert spaces

2005

With the use of interpolation methods we obtain some results about the domain of an operator acting on the nested Hilbert space {ℋf}f∈∑ generated by a self-adjoint operatorA and some estimates of the norms of its representatives. Some consequences in the particular case of the scale of Hilbert spaces are discussed.

Operator AlgebraPure mathematicsHilbert manifoldProjective LimitNuclear operatorHilbert R-treeGeneral MathematicsMathematical analysisHilbert's fourteenth problemHilbert spaceHilbert SpaceRigged Hilbert spaceCompact operator on Hilbert spaceInductive Limitsymbols.namesakesymbolsProduct SpaceReproducing kernel Hilbert spaceMathematicsRendiconti del Circolo Matematico di Palermo
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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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