Stevan Pilipovic
Frames for weighted shift-invariant spaces.
Wed, 06/01/2011 - 15:01 — SomNambulAuthors: Stevan Pilipovic, Suzana Simic
Subjects: Functional Analysis
AbstractWe prove the equivalence of the frame property and the closedness for a
weighted shift-invariant space. We also construct a sequence $\Phi^{2k+1}$ and
the sequence of spaces $V^p_\mu(\Phi^{2k+1})$, $k\in{\mathbb{N}}$, on
$\mathbb{R},$ with the useful properties in sampling, approximations and
stability.Distributed-order fractional wave equation on a finite domain. Stress relaxation in a rod.
Thu, 05/20/2010 - 15:01 — SomNambulAuthors: Stevan Pilipovic, Teodor M. Atanackovic, Dusan Zorica
Subjects: Mathematical Physics
AbstractWe study waves in a rod of finite length with a viscoelastic constitutive
equation of fractional distributed-order type for the special choice of weight
functions. Prescribing boundary conditions on displacement, we obtain case
corresponding to stress relaxation. In solving system of differential and
integro-differential equations we use the Laplace transformation in the time
domain.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".H-distributions -- an extension of the H-measures.
Thu, 08/27/2009 - 13:23 — SomNambulAuthors: Darko Mitrovic, Stevan Pilipovic, Velibor Bojkovic
Subjects: Functional Analysis
AbstractWe prove that that $L^p$, $p\in (1,\infty)$, bound of a multiplier operator
linearly depends on the $L^\infty$ bound of symbol of the multiplier operator.
We use the latter properties of the multiplier operators to extend the notion
of the $H$-measures in the $L^p$ framework.H-distributions -- an extension of the H-measures.
Thu, 08/27/2009 - 13:23 — SomNambulAuthors: Darko Mitrovic, Stevan Pilipovic, Velibor Bojkovic
Subjects: Functional Analysis
AbstractWe prove that that $L^p$, $p\in (1,\infty)$, bound of a multiplier operator
linearly depends on the $L^\infty$ bound of symbol of the multiplier operator.
We use the latter properties of the multiplier operators to extend the notion
of the $H$-measures in the $L^p$ framework.
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