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A note on Smoothed Functional Inverse Regression
(Statistica Sinica, 2007-12)
Estimation in the context of functional data analysis is almost always non-parametric, since the object to be estimated lives in an infinite dimensional space. That is the case for the functional linear model with a ...
Dimensão generalizada de Hausdorff
(Universidade Estadual Paulista (Unesp), 2019-10-25)
O presente trabalho trata de conceitos relacionados com a medida generalizada de Hausdorff, onde o principal objetivo consiste na obtenção de conjuntos cuja dimensão seja um número positivo não inteiro. Ele começa com uma ...
Conformally invariant differential operators and bilinear functionals in six dimensionsConformally invariant differential operators and bilinear functionals in six dimensions
(2009-02-25)
We review how to construct the Paneitz operator in dimension four and the correspondingoperator in dimension six, by constructing symmetric bilinear differentialfunctionals that are conformally invariant.Keywords: Conformal ...
Conformally invariant differential operators and bilinear functionals in six dimensionsConformally invariant differential operators and bilinear functionals in six dimensions
(2009-02-25)
We review how to construct the Paneitz operator in dimension four and the correspondingoperator in dimension six, by constructing symmetric bilinear differentialfunctionals that are conformally invariant.Keywords: Conformal ...
Classes of exact wave functions for general time-dependent Dirac Hamiltonians in 1+1 dimensions
(2003-05-01)
The construction of two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions was discussed. The extension of solutions by introduction of a time-dependent mass was elaborated. ...
Classes of exact wave functions for general time-dependent Dirac Hamiltonians in 1+1 dimensions
(2003-05-01)
The construction of two classes of exact solutions for the most general time-dependent Dirac Hamiltonian in 1+1 dimensions was discussed. The extension of solutions by introduction of a time-dependent mass was elaborated. ...
New bounds on the dimensions of planar distance sets
(Birkhauser Verlag Ag, 2019-07)
We prove new bounds on the dimensions of distance sets and pinned distance sets of planar sets. Among other results, we show that if A ⊂ R2 is a Borel set of Hausdorff dimension s > 1, then its distance set has Hausdorff ...
Nonparametric Bayesian Modeling and Estimation of Spatial Correlation Functions for Global Data
(INT SOC BAYESIAN ANALYSIS, 2021)
We provide a nonparametric spectral approach to the modeling of correlation functions on spheres. The sequence of Schoenberg coefficients and their associated covariance functions are treated as random rather than assuming ...