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20022011
most citedFast learning rates for plug-in classifiers

332 citations

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Showing 2004 · math.CVShow all

6 papers · 2 filters

math.CV2004★ 2 cited

On removable singularities for CR functions in higher codimension

Joel Merker

We establish the holomorphic wedge extendability of CR functions, defined on an everywhere locally minimal generic submanifold M of C^n and having singularities contained in a subm…

math.CV2004★ 5 cited

Global minimality of generic manifolds and holomorphic extendibility of CR functions

Joel Merker

Let M be a smooth generic submanifold of C^n. Tumanov showed that the direction of CR extendability parallel propagates with respect to a certain differential geometric partial con…

math.CV2004

On the local geometry of generic submanifolds of C^n and the analytic reflection principle (Part I)

Joël Merker

We build an elementary analytico-geometric theory of Segre chains and their jets.

math.CV2004★ 1 cited

Symmetries of partial differential equations

Hervé Gaussier, Joël Merker

We establish a link between the study of completely integrable systems of partial differential equations and the study of generic submanifolds in C^n. Using the recent developments…

math.CV2004

Propagation of analyticity for essentially finite C^infty-smooth CR mappings

Joel Merker

An analytico-geometric reflection principle is established by means of normal deformations of analytic discs.

math.CV2004★ 1 cited

Fefferman's mapping theorem on almost complex manifolds

Bernard Coupet, Herve Gaussier, Alexandre Sukhov

We give a necessary and sufficient condition for the smooth extension of a diffeomorphism between smooth strictly pseudoconvex domains in four real dimensional almost complex manif…