Displaying similar documents to “Ahlfors’ currents in higher dimension”

Extension of CR functions to «wedge type» domains

Andrea D'Agnolo, Piero D'Ancona, Giuseppe Zampieri (1991)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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Let X be a complex manifold, S a generic submanifold of X R , the real underlying manifold to X . Let Ω be an open subset of S with ∂ ⁡ Ω analytic, Y a complexification of S . We first recall the notion of Ω -tuboid of X and of Y and then give a relation between; we then give the corresponding result in terms of microfunctions at the boundary. We relate the regularity at the boundary for ∂ ¯ b to the extendability of C ⁢ R functions on Ω to Ω -tuboids of X . Next, if X has complex dimension 2, we give results...

On units of some fields of the form ℚ ( 2 , p , q , - l )

Mohamed Mahmoud Chems-Eddin (2023)

Mathematica Bohemica

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Let p ≡ 1 ( mod 8 ) and q ≡ 3 ( mod 8 ) be two prime integers and let ℓ ∉ { - 1 , p , q } be a positive odd square-free integer. Assuming that the fundamental unit of ℚ ( 2 p ) has a negative norm, we investigate the unit group of the fields ℚ ( 2 , p , q , - ℓ ) .

The unit group of some fields of the form ℚ ( 2 , p , q , - l )

Moha Ben Taleb El Hamam (2024)

Mathematica Bohemica

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Let p and q be two different prime integers such that p ≡ q ≡ 3 ( mod 8 ) with ( p / q ) = 1 , and l a positive odd square-free integer relatively prime to p and q . In this paper we investigate the unit groups of number fields 𝕃 = ℚ ( 2 , p , q , - l ) .

A result on extension of C.R. functions

Makhlouf Derridj, John Erik Fornaess (1983)

Annales de l'institut Fourier

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Let Ω an open set in C 4 near z 0 ∈ ∂ Ω , λ a suitable holomorphic function near z 0 . If we know that we can solve the following problem (see [M. Derridj, Annali. Sci. Norm. Pisa, Série IV, vol. IX (1981)]) : ∂ ‾ u = λ f , ( f is a ( 0 , 1 ) form, ∂ ‾ closed in U ( z 0 ) in U ( z 0 ) with supp ( u ) ⊂ Ω ‾ ∩ U ( z 0 ) , then we deduce an extension result for C . R . functions on ∂ Ω ∩ U ( z 0 ) , as holomorphic fonctions in Ω ∩ V ( z 0 ) .

Uniqueness and factorization of Coleff-Herrera currents

Mats Andersson (2009)

Annales de la faculté des sciences de Toulouse Mathématiques

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We prove a uniqueness result for Coleff-Herrera currents which in particular means that if f = ( f 1 , ... , f m ) defines a complete intersection, then the classical Coleff-Herrera product associated to f is the unique Coleff-Herrera current that is cohomologous to 1 with respect to the operator δ f - ∂ ¯ , where δ f is interior multiplication with f . From the uniqueness result we deduce that any Coleff-Herrera current on a variety Z is a finite sum of products of residue currents with support on Z and holomorphic...

Note on the Hilbert 2-class field tower

Abdelmalek Azizi, Mohamed Mahmoud Chems-Eddin, Abdelkader Zekhnini (2022)

Mathematica Bohemica

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Let k be a number field with a 2-class group isomorphic to the Klein four-group. The aim of this paper is to give a characterization of capitulation types using group properties. Furthermore, as applications, we determine the structure of the second 2-class groups of some special Dirichlet fields 𝕜 = ℚ ( d , - 1 ) , which leads to a correction of some parts in the main results of A. Azizi and A. Zekhini (2020).

On analytic rapidly decreasing functions of a real variable

Gianfranco Cimmino (1983)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti

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Condizione necessaria e sufficiente affinché una funzione rapidamente decrescente di variabile reale sia uniformemente analitica è che per i suoi coefficienti γ 0 , γ 1 , … di Fourier-Hermite riesca γ m = 0 ⁢ ( e m ⁢ t ) per t > 0 abbastanza piccolo.