Infinite dimensional geometry and topology, functional analysis.
Main publications:
Semenov P. V. Paravypuklost grafikov lipshitsevykh funktsii // Trudy seminara im. I. G. Petrovskogo, 1996, 18, 232–247.
Semenov P. V. A counterexample to a Geoghegan–West problem // Proc. Amer. Math. Soc., 1996, 124, 939–943.
Semenov P. V. Teoremy o nepodvizhnoi tochke pri kontroliruemom otkaze ot vypuklosti znachenii mnogoznachnogo otobrazheniya // Matem. sb., 1998, 189(3), 141–160.
Repovs D., Semenov P. Continuous selections of multivalued mappings // Kluwer Ac. Publ., Ser. MIA, 1998, 455, 1–369.
Semenov P. V. On the Lebesque function of open coverings // Topology and its Appl., 2000, 107, 147–152.
Semenov P. V. On a contractivity
condition in fixed point theory and the theory of selections // Banach Center Publications, 2007, 77, 239–245.
Pavel Semenov, “Interior points of convex compactа and continuous choice of exact measures”, Funktsional. Anal. i Prilozhen., 58:1 (2024), 125–131; Funct. Anal. Appl., 58:1 (2024), 97–102
2017
2.
P. V. Semenov, “On the equivalence of certain statements on fixed points of contractions”, Funktsional. Anal. i Prilozhen., 51:4 (2017), 92–95; Funct. Anal. Appl., 51:4 (2017), 318–321
2008
3.
P. V. Semenov, “Continuous Selections as Parametrically Defined Integrals”, Funktsional. Anal. i Prilozhen., 42:2 (2008), 89–94; Funct. Anal. Appl., 42:2 (2008), 155–159
2002
4.
P. V. Semenov, “Fixed Points of Multivalued Contractions”, Funktsional. Anal. i Prilozhen., 36:2 (2002), 89–92; Funct. Anal. Appl., 36:2 (2002), 159–161
D. Repovš, P. V. Semenov, “On the Relation between the Nonconvexity of a Set and the Nonconvexity of Its $\varepsilon$-Neighborhoods”, Mat. Zametki, 70:2 (2001), 246–259; Math. Notes, 70:2 (2001), 221–232
P. V. Semenov, “Nonconvexity in problems of multivalued calculus”, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 61 (1999), 139–166; J. Math. Sci. (New York), 100:6 (2000), 2682–2699
P. V. Semenov, “Local paraconvexity and a local selection theorem”, Mat. Zametki, 65:2 (1999), 261–269; Math. Notes, 65:2 (1999), 214–220
1998
8.
P. V. Semenov, “Fixed-point theorems for a controlled withdrawal of the convexity of the values of a set-valued map”, Mat. Sb., 189:3 (1998), 141–160; Sb. Math., 189:3 (1998), 461–480
P. V. Semenov, “The structure of the fixed-point set of paraconvex-valued contraction mappings”, Trudy Mat. Inst. Steklova, 212 (1996), 188–192; Proc. Steklov Inst. Math., 212 (1996), 179–183
D. Repovš, P. V. Semenov, “Michael's theory of continuous selections. Development and applications”, Uspekhi Mat. Nauk, 49:6(300) (1994), 151–190; Russian Math. Surveys, 49:6 (1994), 157–196
P. V. Semenov, “An invertibility criterion for multivectors in a real Clifford algebra”, Sibirsk. Mat. Zh., 34:4 (1993), 177–183; Siberian Math. J., 34:4 (1993), 749–754
1992
14.
P. V. Semenov, E. V. Shchepin, “Universality of the zero-dimensional selection theorem”, Funktsional. Anal. i Prilozhen., 26:2 (1992), 36–40; Funct. Anal. Appl., 26:2 (1992), 105–108
P. V. Semenov, “Structure of the center of a Clifford algebra over an integral domain”, Mat. Zametki, 35:3 (1984), 321–328; Math. Notes, 35:3 (1984), 167–171
P. V. Semenov, “Reflection group of a Banach space”, Mat. Zametki, 30:3 (1981), 387–369; Math. Notes, 30:3 (1981), 684–689
1979
20.
P. V. Semenov, “James–Orlicz spaces”, Uspekhi Mat. Nauk, 34:4(208) (1979), 209–210; Russian Math. Surveys, 34:4 (1979), 185–186
2022
21.
V. I. Buslaev, V. M. Buchstaber, A. N. Dranishnikov, V. M. Kliatskine, S. A. Melikhov, L. Montejano, S. P. Novikov, P. V. Semenov, “Evgenii Vital'evich Shchepin (on his 70th birthday)”, Uspekhi Mat. Nauk, 77:3(465) (2022), 182–192; Russian Math. Surveys, 77:3 (2022), 559–569
Yu. A. Brudnyi, M. G. Zaidenberg, A. L. Koldobskii, V. Ya. Lin, B. S. Mityagin, S. Norvidas, E. M. Semenov, P. V. Semenov, “Evgenii Alekseevich Gorin (obituary)”, Uspekhi Mat. Nauk, 74:5(449) (2019), 170–180; Russian Math. Surveys, 74:5 (2019), 935–946
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