Computing the determinants by reducing the orders by four.
Gjonbalaj, Qefsere, Salihu, Armend (2010)
Applied Mathematics E-Notes [electronic only]
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Gjonbalaj, Qefsere, Salihu, Armend (2010)
Applied Mathematics E-Notes [electronic only]
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Colloquium Mathematicae
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Annales de l’institut Fourier
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We first provide an approach to the conjecture of Bierstone-Milman-Pawłucki on Whitney’s problem on extendability of functions. For example, the conjecture is affirmative for classical fractal sets. Next, we give a sharpened form of Spallek’s theorem on flatness.
Alex Küronya (2013)
Annales de l’institut Fourier
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We study the relationship between positivity of restriction of line bundles to general complete intersections and vanishing of their higher cohomology. As a result, we extend classical vanishing theorems of Kawamata–Viehweg and Fujita to possibly non-nef divisors.
Kwok-Pun Ho (2003)
Collectanea Mathematica
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We construct wavelet-type frames associated with the expansive matrix dilation on the Anisotropic Triebel-Lizorkin spaces. We also show the a.e. convergence of the frame expansion which includes multi-wavelet expansion as a special case.
Irene Fonseca, Nicola Fusco, Paolo Marcellini (2005)
Bollettino dell'Unione Matematica Italiana
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A characterization of the total variation of the Jacobian determinant is obtained for some classes of functions outside the traditional regularity space . In particular, explicit formulas are deduced for functions that are locally Lipschitz continuous away from a given one point singularity . Relations between and the distributional determinant are established, and an integral representation is obtained for the relaxed energy of certain polyconvex functionals at maps . ...