In memory of Vladimir M. Shelkovich (1949-013)

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• 作者：S. Albeverio (1)
  A. Yu. Khrennikov (2)
  S. V. Kozyrev (3)
  S. A. Vakulenko (4)
  I. V. Volovich (3)
  
• 关键词：Vladimir M. Shelkovich ; p ; adic pseudo ; differential operators ; p ; adic Lizorkin ; Shelkovich spaces ; p ; adic wavelets ; p ; adic distributions
• 刊名：P-Adic Numbers, Ultrametric Analysis, and Applications
• 出版年：2013
• 出版时间：July 2013
• 年：2013
• 卷：5
• 期：3
• 页码：242-245
• 全文大小：446KB
• 参考文献：1. S. Albeverio, A. Yu. Khrennikov and V. M. Shelkovich, “Nonlinear singular problems of / p-adic analysis: associative algebras of / p-adic distributions,-Izv. Math. ass="a-plus-plus">69(2), 221-63 (2005); translation from Izv. Ross. Akad. Nauk, Ser. Mat. ass="a-plus-plus">69 (2), 3-4 (2005). <a class="external" href="http://dx.doi.org/10.1070/IM2005v069n02ABEH000529">CrossRefa>
  2. S. Albeverio, A. Yu. Khrennikov and V. M. Shelkovich, “Harmonic analysis in the / p-adic Lizorkin spaces: Fractional operators, pseudo-differential equations, / p-adic wavelets, Tauberian theorems,-J. Fourier Anal. Appl. ass="a-plus-plus">12(4), 393-25 (2006). <a class="external" href="http://dx.doi.org/10.1007/s00041-006-6014-0">CrossRefa>
  3. S. Albeverio, A. Yu. Khrennikov and V. M. Shelkovich, / Theory of p-Adic Distributions: Linear and Nonlinear Models, London Math. Soc. Lect. Note Series (Cambridge Univ. Press, Cambridge, 2010). <a class="external" href="http://dx.doi.org/10.1017/CBO9781139107167">CrossRefa>
  4. S. V. Kozyrev, A. Yu. Khrennikov and V. M. Shelkovich, -em class="a-plus-plus">p-Adic wavelets and applications,-to appear in Proc. Steklov Math. Inst., Vol. ass="a-plus-plus">285.
  5. A. Yu. Khrennikov, A. V. Kosyak and V. M. Shelkovich, “Wavelet analysis on adeles and pseudo-differential operators,-J. Fourier Anal. Appl. ass="a-plus-plus">18(6), 1215-264 (2012). <a class="external" href="http://dx.doi.org/10.1007/s00041-012-9233-6">CrossRefa>
  6. V. G. Danilov, V. P. Maslov and V. M. Shelkovich, “Algebras of the singularities of singular solutions to first-order quasi-linear strictly hyperbolic systems,-Theor. Math. Phys. ass="a-plus-plus">114(1), 1-2 (1998); translation from Teor. Mat. Fiz. ass="a-plus-plus">114 (1), 3-5 (1998). <a class="external" href="http://dx.doi.org/10.1007/BF02557106">CrossRefa>
  7. A. Yu. Khrennikov, V. M. Shelkovich and O. G. Smolyanov, “Locally convex spaces of vector-valued distributions with multiplicative structures,-Infin. Dimens. Anal. Quantum Probab. Relat. Top. ass="a-plus-plus">5(4), 483-02 (2002). <a class="external" href="http://dx.doi.org/10.1142/S0219025702001000">CrossRefa>
  8. V. M. Shelkovich, “Delta- and delta-shock wave types of singular solutions of systems of conservation laws and transport and concentration processes,-Russian Math. Surv. ass="a-plus-plus">63(3), 473-46 (2008). <a class="external" href="http://dx.doi.org/10.1070/RM2008v063n03ABEH004534">CrossRefa>
  9. S. Albeverio and V. M. Shelkovich, “On the delta-shock front problem,- / Analytical Approaches to Multidimensional Balance Laws, 45-7 (Nova Science Publ., New York, 2006).
  10. B. Nilsson and V. Shelkovich, “Mass, momentum and energy conservation laws in zero-pressure gas dynamics and delta-shocks,-Applicable Anal. ass="a-plus-plus">90(11), 1677-689 (2011). <a class="external" href="http://dx.doi.org/10.1080/00036810903569515">CrossRefa>
  11. V. M. Shelkovich and M. Skopina, -em class="a-plus-plus">p-Adic Haar multiresolution analysis and pseudo-differential operators,-J. Fourier Anal. Appl. ass="a-plus-plus">15(3), 366-93 (2009). <a class="external" href="http://dx.doi.org/10.1007/s00041-008-9050-0">CrossRefa>
  
• 作者单位：S. Albeverio (1)
  A. Yu. Khrennikov (2)
  S. V. Kozyrev (3)
  S. A. Vakulenko (4)
  I. V. Volovich (3)
  
  1. University of Bonn, Endenicher Allee 60, D-53115, Bonn, Germany
  2. International Center for Mathematical Modeling in Physics and Cognitive Sciences, Linnaeus University, S-35195, V?xj?, Sweden
  3. Steklov Mathematical Institute, Gubkina Str. 8, Moscow, 119991, Russia
  4. Institute for Mechanical Engineering Problems, Russian Academy of Sciences, Bolshoy pr. V.O. 61, Saint Petersburg, Russia
  

文摘

We present a brief biographical review of the scientific work and achievements of Vladimir M. Shelkovich on the occasion of his sudden death in February 2013.