Asymptotic properties of the wavelet transform of tempered distributions
Zorica Dusan
Generalizations of classical equations of mathematical physics, and therefore also the wave equation, can be conducted in several ways. Following the first approach, one changes the ordinary partial derivatives with the fractional ones in the equation. However, in this approach the physical meaning might become unclear. In the second approach, equation is written as a system of equations (in the case of wave equation, this is the system that arises from the theory of elasticity), and fractionalization is performed usually on the constitutive equation, since this equation represents properties of the material, that can differ significantly for different materials. This talk reports on joint work with prof. Stevan Pilipovic, prof. Teodor Atanackovic, dr Sanja Konjik and dr Ljubica Oparnica.
Frames for weighted shift-invariant spaces and construction of p-frames
Simić Suzana
The aim of this talk is to prove the equivalence of frame property and
closure for the weighted shift-invariant space and to construct a sequence of
such spaces with the useful properties concerning the sampling,
approximation and stability.
Asymptotic properties of the wavelet transform of tempered distributions
Rakic Dusan
We study the wavelet transform of tempered distributions through their quasiasymptotic behavior via Abelian and Tauberian type of theorems. Using structure of the wavelet transform and quasiasymptotic behavior we applied results in investigation of the local properties of tempered distributions.
Identification of Poles of Meromorphic Functions with Finite Number of Poles and Zeros
Chung Yun-Sung
In this talk, we propose an algorithm for identifying the poles and the residues
of meromorphic functions with finite number of poles and zeros on a simply connected bounded domain
from their boundary measurements with some stability results.
We prove that the pole locations are shown to be the solutions of some characteristic equation
related to the inverse of a Hankel matrix derived from the boundary data and apply this fact
to provide a detection algorithm.
Discrete Operators and Digital Image Processing
Park Jea-Hyun
In this talk, we discuss digital image processing using discrete operators on finite graphs. We introduce two discrete nonlinear operators defined on finite graphs. To apply these operators to digital image processing, we first discuss the existence and uniqueness of solutions of equations for the operators. We also deal with relations between solutions and parameters of the above equations. Finally, we show results that apply discrete nonlinear operators to digital image processing.
The discrete p-Laplacian with a potential having the smallest nonnegative eigenvalue
Lee Heesoo
In this talk, we introduce a calculus on a discrete network and the p-Laplacian operator with a potential. We classify the operator of which the smallest eigenvalue is nonnegative into two cases and investigate properties of the operators. Finally, we characterize the family of potenaials of which the operator has the positive smallest eigenvalue.
The discrete p-Laplacian with a potential having the smallest nonnegative eigenvalue
Lee Heesoo
In this talk, we introduce a calculus on a discrete network and the p-Laplacian operator with a potential. We classify the operator of which the smallest eigenvalue is nonnegative into two cases and investigate properties of the operators. Finally, we characterize the family of potenaials of which the operator has the positive smallest eigenvalue.
Weyl transform in space of ultradistribitions
Smiljana Јаkšić
Our aim is to investigate properties of Weyl transform with symbols from Gel'fand-Schilov type spaces.Precisely, we have shown that Weyl transform is bounded linear operator on those spaces. Also, we gave structural theorems for those spaces.
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