01.01.01 (Real analysis, complex analysis, and functional analysis)
Birth date:
12.02.1954
E-mail:
Keywords:
linear convexity; infinite order diferential equations; infinite order diferential operators; convolution equations in complex domain; convexity in directions; analytic functionals; duality in functional spaces; conjugated sets; C-convexity; spaces of holomorphic funtions.
Main publications:
Znamenskii S. V., “Silnaya lineinaya vypuklost. I. Dvoistvennost prostranstv golomorfnykh funktsii”, Sib. matem. zhurn., 26:3 (1985), 31–43
Znamenskii S. V., “Silnaya lineinaya vypuklost. II. Suschestvovanie golomorfnykh reshenii lineinykh sistem uravnenii”, Sib. matem. zhurn., 29:6 (1988), 49–65
Znamenskii S. V., “Primer silno lineino vypukloi oblasti s nespryamlyaemoi granitsei”, Matem. zametki, 57:6 (1995), 851–861
Znamenskii S. V., Kozlovskaya E. A., “Kriterii epimorfnosti operatora svertki s tochechnym nositelem v prostranstve funktsii, golomorfnykh na svyaznom mnozhestve v $\mathbf C$”, Doklady Akademii nauk. Matematika, 368:6 (1999), 737–739
S. V. Znamenskii, “Strong linear convexity. I. Duality of spaces of holomorphic functions”, Siberian Math. J., 26:3 (1985), 331–341
2.
S. V. Znamenskii, “A geometric criterion for strong linear convexity”, Funct. Anal. Appl., 13:3 (1979), 224–225
3.
S. V. Znamenskii, L. N. Znamenskaya, “Spiral connectedness of the sections and projections of $\mathbb C$-convex sets”, Math. Notes, 59:3 (1996), 253–260
4.
S. V. Znamenskij, “Model and axioms for similarity metrics”, Program Systems: Theory and Applications, 8:4 (2017), 347–357
5.
S. V. Znamenskii, “Tomography in spaces of analytic functionals”, Dokl. Math., 41:3 (1990), 506–509
6.
Sergej V. Znamenskij, “From similarity to distance: axiom set,monotonic transformations and metric determinacy”, Zhurn. SFU. Ser. Matem. i fiz., 11:3 (2018), 331–341
Sergej Znamenskij, “Modeling of the optimal sequence alignment problem”, Program Systems: Theory and Applications, 5:4 (2014), 257–267
9.
S. V. Znamenskij, “A picture of common subsequence length for two random strings over an alphabet of 4 symbols”, Programmnye sistemy: teoriya i prilozheniya, 7:1 (2016), 201–208
S. V. Znamenskij, “A belief framework for similarity evaluation of textual or structured data”, Similarity Search and applications, 8th International conference SISAP 2015 (Glasgo, October 12–14, 2015), Lecture Notes in Computer Science, 9371, eds. G. Amato, F. Falchi, C. Gennaro, Springer, 2015, 138–149
S. V. Znamenskii, “Architecture of collaboratively-changeable hierarchical structure”, Program Systems: Theory and Applications, 2:4 (2011), 115–128
13.
S. V. Znamenskii, E. A. Znamenskaya, “The existence of analytic primitives on an arbitrary subset of the complex plane”, Russian Math. Surveys, 55:1 (2000), 192–194
14.
S. V. Znamenskii, “Existence of holomorphic preimages in all directions”, Math. Notes, 45:1 (1989), 11–13
15.
Sergej V. Znamenskij, “A formula for the mean length of the longest common subsequence”, Zhurn. SFU. Ser. Matem. i fiz., 10:1 (2017), 71–74
S. M. Abramov, S. V. Znamenskij, “An Example Document for submitting to PSTA”, Program Systems: Theory and Applications, 4:2 (2013), 43–69
17.
S. V. Znamenskii, “The process approach to information systems evolution. Retrospective indexing”, Program Systems: Theory and Applications, 2:4 (2011), 127–137
18.
S. V. Znamenskii, E. A. Znamenskaya, “Convexity of a set on the plane in a given direction”, J. Math. Sci. (N. Y.), 120:6 (2004), 1803–1841
19.
S. V. Znamenskii, E. A. Znamenskaya, “Surjectivity of a convolution operator with a point support in the
space of functions holomorphic on an arbitrary set in $\Bbb C$”, Dokl. Akad. Nauk, 376:5 (2001), 590–592
20.
S. V. Znamenskii, L. N. Znamenskaya, “Projective convexity in $\mathbb{CP}^n$”, Siberian Math. J., 38:4 (1997), 685–698
21.
S. V. Znamenskii, “Example of a strictly linear convex domain with nonrectifiable boundary”, Math. Notes, 57:6 (1995), 599–605
22.
S. V. Znamenskii, “Do convex supports of an analytic functional always have a common point?”, Soviet Math. (Iz. VUZ), 35:2 (1991), 47–51
23.
S. V. Znamenskii, “Strong linear convexity. II. Existence of holomorphic solutions of linear systems of equations”, Siberian Math. J., 29:6 (1988), 911–925
24.
Sergej V. Znamenskij, “The closure and the interior of $ \mathbb C$-convex sets”, Zhurn. SFU. Ser. Matem. i fiz., 12:4 (2019), 475–482
25.
S. V. Znamenskij, “Numerical evaluation of the interpolation accuracy of simple elementary functions”, Programmnye sistemy: teoriya i prilozheniya, 9:4 (2018), 93–116
26.
S. V. Znamenskii, “Numerical evaluation of the interpolation accuracy of simple elementary functions”, Program Systems: Theory and Applications, 9:4 (2018), 69–92
27.
S. V. Znamenskij, “Stable assessment of the quality of similarity algorithms of character strings and their normalizations”, Program Systems: Theory and Applications, 9:4 (2018), 579–596
28.
S. V. Znamenskij, “Stable assessment of the quality of similarity algorithms of character strings and their normalizations”, Programmnye sistemy: teoriya i prilozheniya, 9:4 (2018), 561–578
29.
S. Znamenskii, Vl. Dyachenko, “An alternative model of the strings similarity”, Selected Papers of the XIX International Conference on Data Analytics and Management in Data Intensive Domains, DAMDID/RCDL 2017, CEUR Workshop Proceedings, 2022, 2017, 177–183http://ceur-ws.org/Vol-2022/paper30.pdf (in Russian)
30.
S. V. Znamenskij, “Approximation of the longest common subsequence length for two long random strings”, Program Systems: Theory and Applications, 7:4 (2016), 347–358
31.
S. V. Znamenskii, “Distributed memory architecture for changing computing environment”, UBS, 43 (2013), 271–294
32.
S. V. Znamenskij, “Global data identification in a long term perspective”, Program Systems: Theory and Applications, 3:2 (2012), 77–88
33.
S. V. Znamenskij, “Performance indicators for scheduling destruction”, Program Systems: Theory and Applications, 3:2 (2012), 51–60
34.
V. A. Bolotov, S. V. Znamenskij, “Requirements for Education quality management Information system”, Program Systems: Theory and Applications, 1:2 (2010), 3–13
35.
S. V. Znamenskii, “On the intersection of convex supports of analytical functionals”, Math. Notes, 53:6 (1993), 590–592
36.
S. V. Znamenskii, Yu. B. Zelinskii, “When the intersection of the supports of an analytic functional is a support”, Dokl. Math., 47:1 (1993), 13–16
37.
L. N. Znamenskaya, S. V. Znamenskiǐ, “Conditions for strong linear convexity of Hartogs compacta with curvilinear base”, Soviet Math. (Iz. VUZ), 28:12 (1984), 37–41
38.
S. V. Znamenskii, “Integral formulae for a family of holomorphic functions that are uniformly bounded in the interior of a domain $D \subset\mathbb C^n$”, Russian Math. Surveys, 33:3 (1978), 183
39.
Sh. A. Dautov, S. V. Znamenskii, “Morera's theorem in multidimensional complex analysis”, Soviet Math. (Iz. VUZ), 19:5 (1975), 12–13
40.
S. V. Znamenskii, “A connection of analytic functions of several variables with Dirichlet series of one variable. Applications to the representation of nonlinear analytic operators”, Dokl. Akad. Nauk SSSR, 223:3 (1975), 544–547
41.
S. V. Znamenskii, “Local competing in interpolation problems”, Program Systems: Theory and Applications, 11:4 (2020), 99–122
42.
S. V. Znamenskii, E. A. Kozlovskaya, “Epimorphism criterion for a convolution operator with a pointwise support in a space of functions holomorphic on a connected set in $\mathbb{C}$”, Dokl. Akad. Nauk, 368:6 (1999), 737–739
43.
S. V. Znamenskii, S. G. Myslivets, “A criterion for local solvability of partial differential equations with constant coefficients”, Siberian Math. J., 29:2 (1988), 218–221
44.
S. V. Znamenskii, “The solvability of differential equations of infinite order in spaces of holomorphic functions, a theorem of Leont'ev, and a formula of Vostrecov”, Siberian Math. J., 18:6 (1977), 925–935
45.
S. M. Abramov, A. O. Blinov, S. N. Vassilyev, I. S. Guseva, E. V. Danilina, M. G. Dmitriev, S. V. Znamenskii, G. Konstantinov, N. E. Kul'baka, G. Osipov, Yu. S. Popkov, I. V. Rasina, E. V. Ryumina, G. V. Sidorenko, O. V. Fes'ko, M. M. Khrustalev, A. M. Tsirlin, “In memory of Professor Vladimir Iosifovich Gurman”, Program Systems: Theory and Applications, 7:3 (2016), 109–132