Zobrazeno 1 - 10
of 25
pro vyhledávání: '"Agapito, Jose"'
Publikováno v:
Linear Algebra and its Applications 439 (2013), 1700 - 1715
We approach Riordan arrays and their generalizations via umbral symbolic methods. This new approach allows us to derive fundamental aspects of the theory of Riordan arrays as immediate consequences of the umbral version of the classical Abel's identi
Externí odkaz:
http://arxiv.org/abs/1505.07253
Publikováno v:
Journal of Integer Sequences, Vol. 18 (2015), Article 15.5.1
We present a parametric family of Riordan arrays which are obtained by multiplying any Riordan array with a generalized Pascal array. In particular, we focus on some interesting properties of one-parameter Catalan triangles. We obtain several combina
Externí odkaz:
http://arxiv.org/abs/1505.05568
We use the classical umbral calculus to describe Riordan arrays. Here, a Riordan array is generated by a pair of umbrae, and this provides efficient proofs of several basic results of the theory such as the multiplication rule, the recursive properti
Externí odkaz:
http://arxiv.org/abs/1103.5879
Autor:
Agapito, José, Godinho, Leonor
We study the intersection ring of the space $\M(\alpha_1,...,\alpha_m)$ of polygons in $\R^3$. We find homology cycles dual to generators of this ring and prove a recursion relation in $m$ (the number of steps) for their intersection numbers. This re
Externí odkaz:
http://arxiv.org/abs/0709.2097
Autor:
Agapito, Jose, Godinho, Leonor
We use a version of localization in equivariant cohomology for the norm-square of the moment map, described by Paradan, to give several weighted decompositions for simple polytopes. As an application, we study Euler-Maclaurin formulas.
Comment:
Comment:
Externí odkaz:
http://arxiv.org/abs/math/0512475
Autor:
Agapito, José
We give in this note a weighted version of Brianchon-Gram's decomposition for a simple polytope. This weighted version is a direct consequence of the ordinary Brianchon-Gram formula.
Comment: 9 pages, 7 figures, to appear in the Canadian Mathema
Comment: 9 pages, 7 figures, to appear in the Canadian Mathema
Externí odkaz:
http://arxiv.org/abs/math/0503322
Autor:
Agapito, Jose, Weitsman, Jonathan
We give an Euler-Maclaurin formula with remainder for the weighted sum of the values of a smooth function on the integral points in a simple integral polytope. Our work generalizes the formula obtained by Karshon, Sternberg and Weitsman in the ''Eule
Externí odkaz:
http://arxiv.org/abs/math/0411457
Autor:
Agapito, José
We compute explicitly the equivariant Hirzebruch $\chi_y$-characteristic of an equivariant complex line bundle over a toric manifold and state a weighted version of the quantization commutes with reduction principle in symplectic geometry. Then, we g
Externí odkaz:
http://arxiv.org/abs/math/0307318
Publikováno v:
In Linear Algebra and Its Applications 15 August 2016 503:56-82
