Journal d'Analyse Mathematique
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Explicit realization of a metaplectic representation
Journal d'Analyse Mathematique - Tập 55 - Trang 17-39 - 1990
Distribution theory on P.C.F. fractals
Journal d'Analyse Mathematique - Tập 112 - Trang 137-191 - 2011
We construct a theory of distributions in the setting of analysis on
post-critically finite self-similar fractals, and on fractafolds and products
based on such fractals. The results include basic properties of test functions
and distributions, a structure theorem showing that distributions are
locally-finite sums of powers of the Laplacian applied to continuous functions,
and an analysis of the d...
Weyl functions of generalized dirac systems: Integral representation, the inverse problem and discrete interpolation
Journal d'Analyse Mathematique - Tập 116 Số 1 - Trang 17-51 - 2012
We study self-adjoint Dirac systems and subclasses of canonical systems (which
generalize Dirac systems) and obtain explicit and global solutions for direct
and inverse problems. We also derive a local Borg-Marchenko-type theorem,
integral representation of the Weyl function, and results on the interpolation
of Weyl functions.
Rigidity of groups of circle diffeomorphisms and teichmüller spaces
Journal d'Analyse Mathematique - - 2020
We consider deformations of a group of circle diffeomorphisms with Hölder
continuous derivative in the framework of quasiconformal Teichmüller theory and
showcertain rigidity under conjugation by symmetric homeomorphisms of the
circle. As an application, we give a condition for such a diffeomorphism group
to be conjugate to a Möbius group by a diffeomorphism of the same regularity.
The strategy is...
Unique continuation through transversal characteristic hypersurfaces
Journal d'Analyse Mathematique - Tập 138 - Trang 135-156 - 2019
We prove a unique continuation result for an ill-posed characteristic problem. A
model problem of this type occurs in the A. D. Ionescu and S. Klainerman article
(Theorem 1.1 in [11]) and we extend their model-result using only geometric
assumptions. The main tools are Carleman estimates and Hörmander’s
pseudo-convexity conditions.
Bernstein functions and rates in mean ergodic theorems for operator semigroups
Journal d'Analyse Mathematique - - 2012
We present a functional calculus approach to the study of rates of decay in mean
ergodic theorems for bounded strongly continuous operator semigroups. A central
role is played by operators of the form g(A, where −A is the generator of the
semigroup and g is a Bernstein function. In addition, we obtain some new results
on Bernstein functions which are of independent interest.
Uniform estimates on multi-linear operators with modulation symmetry
Journal d'Analyse Mathematique - Tập 88 - Trang 255-309 - 2002
In a previous paper [20] in this series, we gaveL p estimates for multi-linear
operators given by multipliers which are singular on a non-degenerate subspace
of some dimensionk. In this paper, we give uniform estimates when the subspace
approaches a degenerate region in the casek = 1, and when all the exponentsp are
between 2 and ∞. In particular, we recover the non-endpoint uniform estimates
for ...
Quasiconformal extension of biholomorphic mappings in several complex variables
Journal d'Analyse Mathematique - Tập 96 - Trang 269-282 - 2005
Letf(z, t) be a subordination chain fort ∈ [0, α], α>0, on the Euclidean unit
ballB inC n. Assume thatf(z) =f(z, 0) is quasiconformal. In this paper, we give
a sufficient condition forf to be extendible to a quasiconformal homeomorphism
on a neighbourhood of $$\bar B$$ . We also show that, under this condition,f can
be extended to a quasiconformal homeomorphism of $$\overline {R^{2n} } $$ onto
its...
Analytic self-mappings of infinite order of Riemann surfaces
Journal d'Analyse Mathematique - Tập 37 - Trang 186-207 - 1980
Bounds on spherical derivatives for maps into regions with symmetries
Journal d'Analyse Mathematique - Tập 69 - Trang 249-274 - 1996
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