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List of publications of Alexander A. Shlapunov
1. Shlapunov A.A. On the Cauchy problem for the Laplace equation. Siberian Math. Journal, V.33, N. 3 (1992), p. 205­215. 2. Shlapunov A.A, Tarkhanov N.N. On the Cauchy problem for holomorphic functions of Leb esgue class L2 in domain. Siberian Math. Journal, V.33, N. 5 (1992), p. 914­922. 3. Shlapunov A.A., Tarkhanov N.N. Bases with double orthogonality in the Cauchy problem for systems with injective symb ols. Dokl. Ross. AN., V. 326, N. 1 (1992), p. 45­49; English Transl. in Russian Ac. Sci. Dokl. Math., V. 46, N. 2 (1993), p. 255­230. 4. Aizenberg L.A., Karepov O.V., Shlapunov A.A. On the prop erty of uniqueness and existence of a limit in Carleman's formulae. Trudy MIRAN, V. 203, (1994), p. 1­8; English Transl. in Proc. of the Steklov Inst. of Math. N. 3 (1995), p. 1­9. 5. Shlapunov A.A. On iterations of Green typ e integrals for matrix factorizations of the Laplace op erator. Rend. Mat. Acc. Linc., S. 9, V. 5, N. 2 (1994), p. 103­116. 6. Shlapunov A.A., Tarkhanov N.N. Bases with double orthogonality in the Cauchy problem for systems with injective symb ols. The Proceedings of the London Mathematical Society. Ser. 3, V. 71, (1995), p. 1­52. 7. Shlapunov A.A., Tarkhanov N.N. A stability set in the Cauchy problem for elliptic systems. Operator Theory: Advances and Applications (78), BirkhЁ auser, 1995, p. 353­355. 8. Shlapunov A.A. Sp ectral decomp osition of Green's integrals and existence of W s,2 -solutions of matrix factorizations of the Laplace op erator in a ball. Rend. del Seminario Mat. dell'Universit` di Padova, V.96 (1996), p. 237­256. a 9. Nacinovich M., Shlapunov A.A. On iterations of Green integrals and their applications to elliptic differential complexes. Mathematische Nachrichten, 180 (1996), p. 243­284. 10. Shlapunov A.A. On the Cauchy Problem for the Lamґ system. ZAMM e (Zeitschrift fur Angewandte Mathematik und Mechanik) V. 76, N. 4 (1996), p. 215­ Ё 221. 11. Shlapunov A.A. Green's integrals and their applications to elliptic systems. Tesi di perfezionamento (ed. E. Vesentini), Scuola Normale Superiore, 1996, 162 pp. 12. Shlapunov A.A. On the Cauchy Problem for some elliptic systems in a shell in Rn . ZAMM, V. 77, N. 11, (1997), p. 849­859. 13. Nacinovich M., Shlapunov A.A., Tarkhanov N.N. Duality in the spaces of solutions of elliptic systems. Ann. Scuola Norm. Sup. Pisa, Cl. Sci. (4), Vol. XXVI (1998), p. 207­232. 14. Shlapunov A.A. Iterations of self-adjoint op erators and their applications to elliptic systems. Math. Nachrichten, 218 (2000), p. 165­174. 15. Shlapunov A.A. On a solvability condition to a system with injective symb ol in terms of iterations of double layer p otentials. Siberian Math. Journal, V. 42, N. 4 (2001), p. 952­963.


16. Shlapunov A.A. Duality in spaces of solutions to elliptic systems. Siberian Math. Journal, V. 43, N. 4 (2002), p. 948­958. 17. Shlapunov A.A. On a duality in spaces of p olyharmonic functions. Izvestiya VUZ. Mathematics, N. 8 (483), 2002, p. 79­81. 18. Shlapunov A.A., Tarkhanov N.N. Duality by repro ducing kernels. International Journal of Math. and Math. Sciences, 6 (2003), 78pp. 19. Shlapunov A.A. On the Cauchy problem for some elliptic complexes with constant co efficients. "Vestnik KrasGU", Krasnoyarsk State University, Krasnoyarsk, 2003, Ser. Phys.-Mat. nauk., N. 1, p. 62­72. 20. Schulze B.-W., Shlapunov A.A., Tarkhanov N.N. Regularisation of mixed b oundary problems. Mathematical Physics Studies, Vol. 24, Kluwer Academic Publishers, Dordrecht, NL, 2003, 32pp. 21. Schulze B.-W., Shlapunov A.A., Tarkhanov N.N. Green integrals on manifolds with cracks. Annals of Global Analysis and Geometry, Vol. 24, 2003, p. 131­160. 22. Tarkhanov N.N., Shlapunov A.A. Green Integrals in Complex Analysis. Journ. of Math. Sciences, April 2004, V. 120 (6), p. 1868-1900. 23. Shlapunov A.A. Regularization of the Cauchy problem for elliptic complexes. "Vestnik KrasGU", Krasnoyarsk State University, Krasnoyarsk, 2004, Ser. Phys.-Mat. nauki, N. 2, p. 163­170. 24. Shlapunov A.A. Decomp osition in Sob olev spaces with the use of the tangential and normal part of the section. "Vestnik KrasGU", Krasnoyarsk State University, Krasnoyarsk, 2005, Ser. Phys.-Mat. nauki, N. 1, p. 174­179. 25. Shlapunov A.A. On some solvability conditionds for overdetermined systems of differential equations in Sob olev spaces. Izvestiya VUZ. Mathematics, N. 4, 2005, p. 70­80. 26. Shlapunov A.A., Tarkhanov N.N. Mixed problems with a parameter. Russian Journ. Math. Phys., V.12, N. 1, 2005, p. 97­124. 27. Shestakov I.V., Shlapunov A.A. On the solvability of the non-homogeneous Cauchy-Riemann system in a spherical shell. "Vestnik KrasGU", Krasnoyarsk State University, Krasnoyarsk, 2006, Ser. Phys.-Mat. nauki, N. 1, p. 102­111. 28. Tarkhanov N.N., Shlapunov A.A. Green Integrals in Complex Analysis. VINITI, Modern Mathematics and its Applications, Complex Analysis, V. 108 (2006), p. 106-157. 29. Shlapunov A.A. A metho d for constructing solutions to linear systems of partial differential equations. Mat. Trudy, 2006, V. 9, N. 2, p.191­204; English translation in Siberian Adv. in Math., 2007, V. 17, N.2. 30. Shlapunov A.A., Fedchenko D.P. On the Cauchy problem in HЁ older spaces for the multi-dimensional Cauchy-Riemann op erator. "Vestnik KrasGU", Krasnoyarsk State University, Krasnoyarsk, 2006, Ser. Phys.-Mat. nauki, N. 9., p. 100­110. 31. Shlapunov A.A. On the Cauchy problem for the Cauchy-Riemann op erator in Sob olev spaces. Contemporary Math. 2008, 445, 333­347. 32. Shestakov V.I., Shlapunov A.A. On the Cauchy problem for op erators with injective symb ols in Sob olev spaces. Journal of SFU, Math. and Phys., Krasnoyarsk, 2008, N. 1, 52-61.


33. Fedchenko D.P., Shlapunov A.A. On the Cauchy problem for the multidimensional Cauchy-Riemann op erator in Leb esque space L2 in a domain. Matem. Sbornik, 2008, 199, N 11, 141-160. 34. Shestakov V.I., Shlapunov A.A. Negative Sob olev Spaces In the Cauchy problem for the Cauchy-Riemann op erators. Journal of SFU, Math. and Phys., Krasnoyarsk, 2009, N. 1, 17-32. 35. Shestakov V.I., Shlapunov A.A. On the Cauchy problem for op erators with injective symb ols in Leb esque space L2 in a domain. Siberian Math. J., 50:3, 2009, 687-702. 36. Shlapunov A.A., Tarkhanov N.N. A Homotopy Op erator for Sp encer's Sequence in the C -case. Siberian Adv. in Math., 2009, V. 19, N.2, 75-109.