Zobrazeno 1 - 10
of 82
pro vyhledávání: '"Yger, Alain"'
We construct in this paper a large class of superoscillating sequences, more generally of $\mathscr F$-supershifts, where $\mathscr F$ is a family of smooth functions (resp. distributions, hyperfunctions) indexed by a real parameter $\lambda\in \R$.
Externí odkaz:
http://arxiv.org/abs/1912.01057
In this article we develop intersection theory in terms of the $\mathcal{B}$-group of a reduced analytic space. This group was introduced in a previous work as an analogue of the Chow group; it is generated by currents that are direct images of Chern
Externí odkaz:
http://arxiv.org/abs/1908.11759
On a reduced analytic space $X$ we introduce the concept of a generalized cycle, which extends the notion of a formal sum of analytic subspaces to include also a form part. We then consider a suitable equivalence relation and corresponding quotient $
Externí odkaz:
http://arxiv.org/abs/1812.03054
Autor:
Alpay, Daniel, Yger, Alain
Using algebraic methods, and motivated by the one variable case, we study a multipoint interpolation problem in the setting of several complex variables. The duality realized by the residue generator associated with an underlying Gorenstein algebra,
Externí odkaz:
http://arxiv.org/abs/1705.05349
Autor:
Sombra, Martin, Yger, Alain
Publikováno v:
Moscow Mathematical Journal 21 (2021) 129-173
We present several upper bounds for the height of global residues of rational forms on an affine variety. As a consequence, we deduce upper bounds for the height of the coefficients in the Bergman-Weil trace formula. We also present upper bounds for
Externí odkaz:
http://arxiv.org/abs/1702.05987
Autor:
Alpay, Daniel, Yger, Alain
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 December 2021 504(2)
Publikováno v:
In Journal de mathématiques pures et appliquées March 2021 147:163-178
We show that Coleff-Herrera type products of residue currents can be defined by analytic continuation of natural functions depending on one complex variable.
Comment: 8 pages
Comment: 8 pages
Externí odkaz:
http://arxiv.org/abs/1303.0106
Let $\mathcal J$ be an ideal sheaf on a reduced analytic space $X$ with zero set $Z$. We show that the Lelong numbers of the restrictions to $Z$ of certain generalized Monge-Amp\`ere products $(dd^c\log|f|^2)^k$, where $f$ is a tuple of generators of
Externí odkaz:
http://arxiv.org/abs/1009.2458
We present a restricted version of some affine Jacobi's residue formula (on an affine algebraic variety) with applications to higher dimensional (and affine) analogues of Wood's (or Reiss's) relations about the interpolation of pieces of analytic man
Externí odkaz:
http://arxiv.org/abs/math/0111250