I was educated in special mathematical class of Rostov High school #5, in school period took part in many scientific Olympiads and often had success. Then I continued "Olympiad activity" as an organized, member of jury comity and mathematical facultative lessons provider. I studied on Mechanical and Mathematical faculty of Rostov State University (1971–76); first time on mechanical department and from 3 year on mathematical department where Professor Igor Simonenko was my scientific supervisor. At the end of third year I had prepared scientific article about multidimensional discreet multiplicators. Then I followed my professor and switched to investigation of Markov type estimations for quasi-polynomials. My PhD thesis (1980) also investigates such type estimations and their applications to mathematical physics problems. I very actively participated in mathematical and applied investigations in ocean acoustics, which took place in Rostov University (82–91). A significant part of this work consisted in extracting of a mathematical setting from engineer field balancing mathematical precision, rationality and possibility to interpret result. And I liked this type of work. I taught students in Rostov State University (1979–97) mostly on Mechanical and Mathematical Faculty. Publications 1990–97 reflect mathematical part of my gyro-acoustical investigation. From 1997 I work in Information Technology Industry. I take part in innovations and development new technology solutions prepare reasonable models of practical phenomena and investigate them.
Main publications:
S. L. Edel'shtein, “Asymptotic splitting of boundary-value problems for the Helmholtz equation in a strip with “permeable” boundaries”, Izv. RAN. Ser. Mat., 61:4 (1997), 203–224
S. L. Édelshtein, “Asymptotic splitting of boundary value problems for abstract differential equations”, Sibirsk. Mat. Zh., 35:6 (1994), 1401–1420
S. L. Édelshtein, “Sharp (with respect to the order of the highest exponent) estimate of the derivative of a power quasipolynomial in $L_2[0,1]$”, Mat. Zametki, 35:4 (1984), 549–558
S. L. Edelstein, “Boundedness of the convolution operator in $L_p(Z^m)$ and smoothness of the symbol of the operator”, Mat. Zametki, 22:6 (1977), 873–884
S. L. Edelstein, “Asymptotic splitting of boundary-value problems for the Helmholtz equation in a strip with “permeable” boundaries”, Izv. RAN. Ser. Mat., 61:4 (1997), 203–224; Izv. Math., 61:4 (1997), 877–898
1994
2.
S. L. Edelstein, “Asymptotic splitting of boundary value problems for abstract differential equations”, Differ. Uravn., 30:5 (1994), 797–805; Differ. Equ., 30:5 (1994), 733–740
S. L. Èdel'shtein, “Asymptotic estimates of solutions to boundary value problems for differential equations with operator coefficients”, Differ. Uravn., 30:3 (1994), 534–536; Differ. Equ., 30:3 (1994), 496–498
4.
S. L. Edelstein, “On the Helmholtz Equation in a Strip with Penetrable Boundary”, Funktsional. Anal. i Prilozhen., 28:3 (1994), 92–94; Funct. Anal. Appl., 28:3 (1994), 223–225
S. L. Edelstein, “Asymptotic splitting of boundary value problems for abstract differential equations”, Sibirsk. Mat. Zh., 35:6 (1994), 1401–1420; Siberian Math. J., 35:6 (1994), 1244–1261
S. L. Edelstein, “Asymptotic decomposition of boundary value problems for differential equations in Banach spaces”, Mat. Zametki, 54:4 (1993), 140–148; Math. Notes, 54:4 (1993), 1073–1078
S. L. Edelstein, “Asymptotic splitting of boundary value problems for differential
equations in Banach spaces”, Dokl. Akad. Nauk, 323:3 (1992), 427–429; Dokl. Math., 45:2 (1992), 379–381
S. L. Edelstein, “Operator analogs of VKB-type estimates and the solvability of boundary-value problems”, Mat. Zametki, 51:4 (1992), 124–131; Math. Notes, 51:4 (1992), 411–416
S. L. Edelstein, “Estimates for and asymptotic behavior of solutions of a two-dimensional boundary value problem for the Helmholtz equation with a coefficient that depends weakly on a variable”, Differ. Uravn., 26:4 (1990), 727–729
S. L. Edelstein, “Sharp (with respect to the order of the highest exponent) estimate of the derivative of a power quasipolynomial in $L_2[0, 1]$”, Mat. Zametki, 35:4 (1984), 549–558; Math. Notes, 35:4 (1984), 289–295
S. L. Edelstein, “Estimates for powerlike quasipolynomials of the type of A. A. Markov's and S. M. Nikol’skii's inequalities”, Dokl. Akad. Nauk SSSR, 251:3 (1980), 566–569
12.
S. L. Edelstein, “Estimates of quasipolynomials and rapidly converging methods of solving elliptic problems in domains with corners”, Dokl. Akad. Nauk SSSR, 250:1 (1980), 42–46
S. L. Edelstein, “Boundedness of the convolution operator in $L_p(Z^m)$ and smoothness of the symbol of the operator”, Mat. Zametki, 22:6 (1977), 873–884; Math. Notes, 22:6 (1977), 978–984
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