Remarks of germs in infinite dimensions.

Kriegl, A.

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Displaying similar documents to “Remarks of germs in infinite dimensions.”

Maximum modulus sets and reflection sets

Alexander Nagel, Jean-Pierre Rosay (1991)

Annales de l'institut Fourier

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We study sets in the boundary of a domain in $C^{n}$ , on which a holomorphic function has maximum modulus. In particular we show that in a real analytic strictly pseudoconvex boundary, maximum modulus sets of maximum dimension are real analytic. Maximum modulus sets are related to , which are sets along which appropriate collections of holomorphic and antiholomorphic functions agree.

Families of analytic discs in $𝐂^{n}$ with boundaries on a prescribed $C R$ submanifold

C. Denson Hill, Geraldine Taiani (1978)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Joël Merker (2002)

Annales de l’institut Fourier

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In the present paper, we associate the techniques of the Lewy-Pinchuk reflection principle with the Behnke-Sommer continuity principle. Extending a so-called to a parameterized congruence of Segre varieties, we are led to studying the envelope of holomorphy of a certain domain covered by a smooth Levi-flat “hat”. In our main theorem, we show that every $𝒞^{\infty}$ -smooth CR diffeomorphism $h : M \to M^{'}$ between two globally minimal real analytic hypersurfaces in $ℂ^{n}$ ( $n \geq 2$ ) is real analytic at every point of $M$ ...

Fréchet-valued analytic functions and linear topological invariants.

Nguyen Van Dong, Nguyen Thai Son (1998)

Portugaliae Mathematica

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Continuity of intersection of analytic sets

P. Tworzewski, T. Winiarski (1983)

Annales Polonici Mathematici

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On the space of the analytic discs which are transversal to a smooth real hypersurface of $C^{n}$

Claudio Rea (1983)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Closures of open analytic polyhedra

P. J. de Paepe (1974)

Compositio Mathematica

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Displaying similar documents to “Remarks of germs in infinite dimensions.”

Maximum modulus sets and reflection sets

Families of analytic discs in 𝐂 n with boundaries on a prescribed C R submanifold

On envelopes of holomorphy of domains covered by Levi-flat hats and the reflection principle

Fréchet-valued analytic functions and linear topological invariants.

Continuity of intersection of analytic sets

On the space of the analytic discs which are transversal to a smooth real hypersurface of C n

Closures of open analytic polyhedra

Families of analytic discs in $𝐂^{n}$ with boundaries on a prescribed $C R$ submanifold

On the space of the analytic discs which are transversal to a smooth real hypersurface of $C^{n}$