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Tameness in Fréchet spaces of analytic functions

Aydın Aytuna (2016)

Studia Mathematica

A Fréchet space with a sequence | | · | | k k = 1 ∞ of generating seminorms is called tame if there exists an increasing function σ: ℕ → ℕ such that for every continuous linear operator T from into itself, there exist N₀ and C > 0 such that | | T ( x ) | | ₙ ≤ C | | x | | σ ( n ) ∀x ∈ , n ≥ N₀. This property does not depend upon the choice of the fundamental system of seminorms for and is a property of the Fréchet space . In this paper we investigate tameness in the Fréchet spaces (M) of analytic functions on Stein manifolds M equipped with the compact-open...

Tangentes limites, cône de Whitney et régularité par intersection

Patrice Orro (1990)

Annales de l'institut Fourier

Nous caractérisons, en terme de dimension (topologique et de Hausdorff) des fibres des espaces de limites de tangents et du cône de Whitney, les conditions de régularité b cod q et b * sur une stratification C 1 . Nous précisons ces résultats lorsque les espaces qui interviennent ne sont pas fractals, en particulier lorsque la stratification est sous-analytique.

Tangential Cauchy-Riemann equations on quadratic manifolds

Marco M. Peloso, Fulvio Ricci (2002)

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

We study the tangential Cauchy-Riemann equations ∂ ¯ b ⁢ u = ω for 0 , q -forms on quadratic C ⁢ R manifolds. We discuss solvability for data ω in the Schwartz class and describe the range of the tangential Cauchy-Riemann operator in terms of the signatures of the scalar components of the Levi form.

Tautness of locally taut domains in complex spaces

Do Duc Thai, Pham Nguyen Thu Trang (2004)

Annales Polonici Mathematici

A necessary and sufficient condition for tautness of locally taut domains in a weakly Brody hyperbolic complex space is given. Moreover, some results of Kobayashi and Gaussier are deduced as corollaries.

Tempered solutions of 𝒟 -modules on complex curves and formal invariants

Giovanni Morando (2009)

Annales de l’institut Fourier

Let X be a complex analytic curve. In this paper we prove that the subanalytic sheaf of tempered holomorphic solutions of 𝒟 -modules on X induces a fully faithful functor on a subcategory of germs of formal holonomic 𝒟 -modules. Further, given a germ ℳ of holonomic 𝒟 -module, we obtain some results linking the subanalytic sheaf of tempered solutions of ℳ and the classical formal and analytic invariants of ℳ .

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