Complement to Higher Bernstein Polynomials and Multiple Poles of 1 Γ(λ) X |f | 2λ f −h ρω ∧ ω′ - Archive ouverte HAL Accéder directement au contenu
Pré-Publication, Document De Travail Année : 2023

Complement to Higher Bernstein Polynomials and Multiple Poles of 1 Γ(λ) X |f | 2λ f −h ρω ∧ ω′

Résumé

We give, using higher Bernstein polynomials defined in our paper [2], a stronger version of our previous result in [1] whose converse is proved in [2] and we give some complements to the results in [2] which help to compute these higher order Bernstein polynomials. Then we show some non trivial examples where we determine the root of the second Bernstein polynomial which is not a double root of the full Bernstein polynomial and where the main theorem of [2] applies and localizes where a double pole exists for the meromorphic extension of the (conjugate) analytic functional given by polar parts of ω ′ → |f | 2λ f −h ρω ∧ ω′ when h ∈ N is large enough.
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Dates et versions

hal-04299264 , version 1 (22-11-2023)

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Daniel Barlet. Complement to Higher Bernstein Polynomials and Multiple Poles of 1 Γ(λ) X |f | 2λ f −h ρω ∧ ω′. 2023. ⟨hal-04299264⟩
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