Ideas of Hugo Steinhaus in contemporary mathematics
Il teorema di Morse-Sard in spazi di Sobolev Problemi di trasporto ottimale e applicazioni
Implicit function theorem for locally blow-analytic functions
In this paper we prove the implicit function theorem for locally blow-analytic functions, and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.
Implicit functions from locally convex spaces to Banach spaces
We first generalize the classical implicit function theorem of Hildebrandt and Graves to the case where we have a Keller -map f defined on an open subset of E×F and with values in F, for E an arbitrary Hausdorff locally convex space and F a Banach space. As an application, we prove that under a certain transversality condition the preimage of a submanifold is a submanifold for a map from a Fréchet manifold to a Banach manifold.
Index and dynamics of quantized contact transformations
Quantized contact transformations are Toeplitz operators over a contact manifold of the form , where is a Szegö projector, where is a contact transformation and where is a pseudodifferential operator over . They provide a flexible alternative to the Kähler quantization of symplectic maps, and encompass many of the examples in the physics literature, e.g. quantized cat maps and kicked rotors. The index problem is to determine when the principal symbol is unitary, or equivalently to determine...
Inégalités de Sobolev et -cohomologie
Inégalités isopérimétriques et inégalités de Faber-Krahn
Inequalities between volume, center of mass, circumscribed radius, order, and mean curvature.
Infinite Determincacy of Equivariant Map-Germs.
Infinite Dimensional Calculus Allowing Nonconvey Domains with Empty Interior.
Inflated mappings for singularities of codimension
Injectivity onto a star-shaped set for local homeomorphisms in n-space
We provide a number of either necessary and sufficient or only sufficient conditions on a local homeomorphism defined on an open, connected subset of the n-space to be actually a homeomorphism onto a star-shaped set. The unifying idea is the existence of "auxiliary" scalar functions that enjoy special behaviours along the paths that result from lifting the half-lines that radiate from a point in the codomain space. In our main result this special behaviour is monotonicity, and the auxiliary function...
Integral Kernels and Approximation on Totally Real Submanifolds of Cn.
Intégration des équations de Cauchy-Riemann induites formelles
Integration of differential forms on manifolds with locally finite variations.
Interpolation and extrapolation of smooth functions by linear operators.
Intrinsic differentials in buckling theory-Cuspoids
Introduction to Graded Geometry, Batalin-Vilkovisky Formalism and their Applications
These notes are intended to provide a self-contained introduction to the basic ideas of finite dimensional Batalin-Vilkovisky (BV) formalism and its applications. A brief exposition of super- and graded geometries is also given. The BV–formalism is introduced through an odd Fourier transform and the algebraic aspects of integration theory are stressed. As a main application we consider the perturbation theory for certain finite dimensional integrals within BV-formalism. As an illustration we present...
Invariant manifolds of a differentiable vector field
Inversion von Fredholmfunktionen bei stetiger und holomorpher Abhängigkeit von Parametern.