30 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- St Petersburg UniversityRU6 papers
- Växjö KommunSE4 papers
- North-Eastern Federal UniversityRU2 papers
- Peter the Great St. Petersburg Polytechnic UniversityRU2 papers
- Universidad Nacional Autónoma de MéxicoMX2 papers
- University of BathGB2 papers
- Czech Academy of Sciences, Institute of MathematicsCZ1 paper
- Institute of MathematicsPL1 paper
- Institute of Mathematics and InformaticsBG1 paper
- Institute of Problems of Mechanical EngineeringRU1 paper
- Peoples' Friendship University of RussiaRU1 paper
- Saarland UniversityDE1 paper
4 papers · 1 filter
Unified approach to critical-contrast homogenisation with explicit links to time-dispersive media
Kirill Cherednichenko, Yulia Ershova, Alexander Kiselev +1
A novel approach to critical-contrast homogenisation is proposed. Norm-resolvent asymptotics are explicitly constructed. An essential feature of our approach is that it relates hom…
Non-Haar -adic wavelets and their application to pseudo-differential operators and equations
A. Yu. Khrennikov, V. M. Shelkovich
In this paper a countable family of new compactly supported {\em non-Haar} -adic wavelet bases in ${\cL}^2(\bQ_p^n)$ is constructed. We use the wavelet bases in the following ap…
Asymptotical behavior of one class of -adic singular Fourier integrals
A. Yu. Khrennikov, V. M. Shelkovich
We study the asymptotical behavior of the -adic singular Fourier integrals $$ J_{π_α,m;ϕ}(t) =\bigl< f_{π_α;m}(x)χ_p(xt), ϕ(x)\bigr> =F\big[f_{π_α;m}ϕ\big](t), \quad |t|_p \to \…
-Adic Haar multiresolution analysis and pseudo-differential operators
V. M. Shelkovich, M. Skopina
The notion of {\em -adic multiresolution analysis (MRA)} is introduced. We discuss a ``natural'' refinement equation whose solution (a refinable function) is the characteristic…