Karoline Johansson
Association between temperate distributions and analytical functions in the context of wave-front sets.
Mon, 03/08/2010 - 16:01 — SomNambulAuthors: Karoline Johansson
Subjects: Functional Analysis
AbstractLet B be a translation invariant Banach function space (BF-space). In this
paper we prove that every temperate distribution f can be associated with a
function F analytic in the convex tubeOmega={z in C^d; |Im z|<1} such that the wave-front set of f of Fourier
BF-space types in intersection with R^d \times S^{d-1} consists of the points
(x,\xi) such that F does not belong to the Fourier BF-space at x-i\xi.Global Wave Front Set of Modulation Space types.
Fri, 12/18/2009 - 16:01 — SomNambulAuthors: Karoline Johansson, Joachim Toft, Sandro Coriasco
Subjects: Functional Analysis
AbstractWe introduce global wave-front sets ${WF}_{M(\omega,\mathscr B)}(f)$, $f\in
{\mathscr S}^\prime(\mathbf{R}^d)$, with respect to the modulation spaces
$M(\omega,\mathscr B)$, where $\omega$ is an appropriate weight function and
$\mathscr B$ is a translation invariant Banach function space. We show that the
standard properties for known notions of wave-front set extend to
${WF}_{M(\omega,\mathscr B)}(f)$. In particular, we prove that microlocality
and microellipticity hold for a class of globally defined pseudo-differential
operators.Wave-front sets of Banach function types.
Wed, 11/11/2009 - 16:01 — SomNambulAuthors: Karoline Johansson, Joachim Toft, Sandro Coriasco
Subjects: Functional Analysis
AbstractWe introduce the wave-front set for distributions with respect to Fourier
images of weighted translation invariant Banach function spaces. We prove that
usual mapping properties for pseudo-differential operators hold in the context
of such wave-front sets.Discrete Wave-front sets of Fourier Lebesgue and modulation space types.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Stevan Pilipovic, Karoline Johansson, Nenad Teofanov, Joachim Toft
Subjects: Functional Analysis
AbstractWe introduce discrete wave-front sets with respect to Fourier Lebesgue and
modulation spaces. We prove that these wave-front sets agree with corresponding
wave-front sets of "continuous type".Discrete Wave-front sets of Fourier Lebesgue and modulation space types.
Tue, 09/08/2009 - 12:16 — SomNambulAuthors: Stevan Pilipovic, Karoline Johansson, Nenad Teofanov, Joachim Toft
Subjects: Functional Analysis
AbstractWe introduce discrete wave-front sets with respect to Fourier Lebesgue and
modulation spaces. We prove that these wave-front sets agree with corresponding
wave-front sets of "continuous type".
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