Rational functions admitting double decompositions
نویسندگان
چکیده
منابع مشابه
RATIONAL DECOMPOSITIONS OF p-ADIC MEROMORPHIC FUNCTIONS
Let K be a non archimedean algebraically closed field of characteristic π, complete for its ultrametric absolute value. In a recent paper by Escassut and Yang ([6]) polynomial decompositions P (f) = Q(g) for meromorphic functions f , g on K (resp. in a disk d(0, r−) ⊂ K) have been considered, and for a class of polynomials P , Q, estimates for the Nevanlinna function T (ρ, f) have been derived....
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A d-realizer is a collection R = {π1, . . . , πd} of d permutations of a set V representing an antichain in R. We use R to define a graph GR on the suspended set V + = V ∪ {s1, . . . , sd}. It turns out that GR has dn + ( d 2 ) edges (n = |V |), among them the edges of the outer clique on {s1, . . . , sd}. The inner edges of GR can be partitioned into d trees such that Ti spans V + si. In the c...
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A d-realizer is a collection R = {π1, . . . , πd} of d permutations of a set V representing an antichain in R. We use R to define a graph GR on the suspended set V + = V ∪ {s1, . . . , sd}. It turns out that GR has dn+ ( d 2 ) edges (n = |V |), among them the edges of the outer clique on {s1, . . . , sd}. The inner edges of GR can be partitioned into d trees such that Ti spans V + si. In the ca...
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A double pants decomposition of a 2-dimensional surface is a collection of two pants decomposition of this surface introduced by the authors. There are two natural operations acting on double pants decompositions: flips and handle-twists. It is shown by the authors that the groupoid generated by flips and handle-twists acts transitively on admissible double pants decompositions, where the class...
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Generalized rational Krylov decompositions are matrix relations which, under certain conditions, are associated with rational Krylov spaces. We study the algebraic properties of such decompositions and present an implicit Q theorem for rational Krylov spaces. Transformations on rational Krylov decompositions allow for changing the poles of a rational Krylov space without recomputation, and two ...
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ژورنال
عنوان ژورنال: Transactions of the Moscow Mathematical Society
سال: 2013
ISSN: 0077-1554,1547-738X
DOI: 10.1090/s0077-1554-2013-00207-1