Classifying Hilbert functions of fat point subschemes in P^2.
Anthony Vito Geramita, Brian Harbourne, Juan Migliore (2009)
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Anthony Vito Geramita, Brian Harbourne, Juan Migliore (2009)
Collectanea Mathematica
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Francesca Cioffi, Maria Grazia Marinari, Luciana Ramella (2009)
Collectanea Mathematica
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Enrico Laeng (2007)
Collectanea Mathematica
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We give an overview of the behavior of the classical Hilbert Transform H seen as an operator on L(R) and on weak-L(R), then we consider other operators related to H. In particular, we discuss various versions of Discrete Hilbert Transform and Fourier multipliers periodized in frequency, giving some partial results and stating some conjectures about their sharp bounds L(R) → L(R), for 1 < p < ∞.
Elena Guardo, Adam Van Tuyl (2008)
Collectanea Mathematica
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Éric Ricard, Christian Rosendal (2007)
Collectanea Mathematica
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We consider the unitary group U of complex, separable, infinite-dimensional Hilbert space as a discrete group. It is proved that, whenever U acts by isometries on a metric space, every orbit is bounded. Equivalently, U is not the union of a countable chain of proper subgroups, and whenever E ⊆ U generates U, it does so by words of a fixed finite length.
Marco Annoni, Loukas Grafakos, Petr Honzík (2009)
Collectanea Mathematica
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Alberto Alzati (2008)
Collectanea Mathematica
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Leszek Olszowy (2010)
Collectanea Mathematica
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Lorenzo Robbiano (2009)
Collectanea Mathematica
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Lucio Guerra, Gian Pietro Pirola (2009)
Collectanea Mathematica
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