Scientific interests: The Fourier–Laplace, Cauchy transforms; in the plane domain in terms of the Cauchy transform is obtained. Description of the dual space to Bergman spaces in plane convex domain in terms of the Laplace transform is obtained.
Biography
Graduated from Bashikirian state unversity in 1990 (department of theory of functions and functional analysis). Ph.D. thesis was defended in 1994. A list of my works contains 10 titles.
Main publications:
V. V. Napalkov (Jr.), “Orthosimilar expansion systems in space with reproducing kernel”, Ufa Math. Journal, 5:4 (2013), 88–100
V. V. Napalkov (jr.), “An equivalent integral norm in a dual space”, Ufimsk. Mat. Zh., 3:4 (2011), 122–132
V. V. Napalkov (Jr.), “On orthosimilar systems in a space of analytical functions and the problem of describing the dual space”, Ufa Math. Journal, 3:1 (2011), 30–41
V. V., Napalkov, V. V. Napalkov (ml.), “Sopryazhennye operatory v prostranstvakh tipa Foka”, Doklady Akademii Nauk, 414:5 (2007), 591–593
V. V. Napalkov (Jr.), “Analogue of the Fock space”, Integral transform and special functions, Taylor & Francis Group, 18:2 (2007), 133–138
V. V. Napalkov (ml.), “Razlichnye predstavleniya prostranstva analiticheskikh funktsii i zadacha opisaniya sopryazhennogo prostranstva”, Doklady Akademii Nauk, 387:2 (2002), 164–167 , Napalkov V. V. (Jr.) “Various representation of the space of analytics functions and the problem of the dual space description”, Doklady Mathematics, V.66, N3, P.335–337.
V. V. Napalkov (Jr.), R. S. Yulmukhametov, “On the Hilbert Transform in Bergman Space”, Math. Notes, 70:1 (2001), 61–70
V. V. Napalkov Jr.and R. S. Yulmukhametov, “Criterion of surjectivity of the Cauchy transform operator on a Bergman space”, Lyubich, Yu. (ed.) et al., Entire functions in modern analysis. Boris Levin memorial conference., Proceedings of the conference (Tel-Aviv, Israel, December 14-19, 1997. Ramat-Gan: Bar-Ilan University), Gelbart Research Institute for Mathematical Sciences, Isr. Math. Conf. Proc., 15, 2001, 261–267
V. V. Napalkov (Jr.), “Borel transformations on Dirichlet spaces”, Math. Notes, 60:1 (1996), 42–48
V. V. Napalkov (Jr.), R. S. Yulmukhametov, “Weighted Fourier–Laplace transforms of analytic functionals on the disk”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 385–390
V. V. Napalkov, A. A. Nuyatov, “On Hilbert spaces of sequences formed by values of functions from the Bargmann–Fock space”, Trudy Inst. Mat. i Mekh. UrO RAN, 29, no. 2, 2023, 104–114
2.
V. V. Napalkov (ml.), A. A. Nuyatov, “K voprosu o sovpadenii gilbertovykh prostranstv, integriruemykh s kvadratom po mere funktsii”, Trudy MFTI, 15:3 (2023), 39-49
3.
V. V. Napalkov (ml.), A. A. Nuyatov, “K voprosu o vlozhenii gilbertovykh prostranstv
s vosproizvodyaschim yadrom”, Abstract, III International Conference
“MATHEMATICAL PHYSICS, DYNAMICAL SYSTEMS,
INFINITE-DIMENSIONAL ANALYSIS”
dedicated to the 100th anniversary of V.S. Vladimirov, the 100th anniversary
of L.D. Kudryavtsev and the 85th anniversary of O.G. Smolyanov (Dolgoprudnyi, 5-13 iyulya 2023), 2023, 250-251 https://www.mathnet.ru/ConfLogos/2256/main_site.pdf
4.
V. V. Napalkov (ml.), A. A. Nuyatov, “Neobkhodimye i dostatochnye usloviya vlozheniya gilbertovykh prostranstv s vosproizvodyaschim yadrom”, Materialy mezhdunarodnoi nauchnoi konferentsii
«UFIMSKAYa OSENNYaYa MATEMATIChESKAYa ShKOLA – 2023»
Tom 1
g. Ufa, 4-8 oktyabrya 2023 goda (Ufa, 4-8 oktyabrya 2023 goda), Aeterna, Ufa, 2023, 109-112 https://conf-bashedu-fmit.ru/
5.
V. V. Napalkov, A. A. Nuyatov, “On a condition for the coincidence of transform spaces for functionals in a Hilbert space”, Trudy Inst. Mat. i Mekh. UrO RAN, 28, no. 3, 2022, 142–154
6.
V. V. Napalkov, V. V. Napalkov, “On the equivalence of reproducing kernel Hilbert spaces connected by a special transform”, Trudy Inst. Mat. i Mekh. UrO RAN, 26, no. 2, 2020, 200–215
7.
V. V. Napalkov, V. V. Napalkov, “On the coincidence of reproducing kernel Hilbert spaces connected by a special transformation”, Trudy Inst. Mat. i Mekh. UrO RAN, 25, no. 2, 2019, 149–159
8.
V. V. Napalkov, V. V. Napalkov (ml.), “Ob izomorfizme gilbertovykh prostranstv s vosproizvodyaschim yadrom”, Doklady Akademii nauk, 474:6 (2017), 665–667
9.
V. V. Napalkov (ml. ), “Izomorfizm gilbertovykh prostranstv s vosproizvodyaschim yadrom i prostranstvo sostoyanii kvantovomekhanicheskoi sistemy”, Izvestiya Ufimskogo nauchnogo tsentra RAN, 2017, no. 1, 5–8
10.
V. V. Napalkov, V. V. Napalkov (ml.), “O bazisakh Rissa iz vosproizvodyaschikh yader v prostranstvakh Bargmana – Foka”, Izvestiya Ufimskogo nauchnogo tsentra RAN, 2017, no. 3, 5–9
11.
V. V. Napalkov (ml.), “Antilineinye nepreryvnye operatory i ortopodobnye sistemy razlozheniya”, Mezhdunarodnaya matematicheskaya konferentsiya po teorii funktsii, posvyaschennaya 100-letiyu chl. korr. AN SSSR A.F. Leonteva, Sbornik tezisov (Ufa, 24-27 maya 2017 g.), Bashkirskii gosudarstvennyi universitet, Ufa, 2017, 119-120
12.
V. V Napalkov (ml.), A. U. Mullabaeva, “Reshenie zadachi Shapiro dlya operatora svertki”, Izvestiya Ufimskogo nauchnogo tsentra RAN, 2017, no. 4, 5–11
13.
V. V. Napalkov (ml.), “Opisanie prostranstva, sopryazhennogo s podprostranstvom Bargmana–Foka”, Mezhdunarodnaya matematicheskaya konferentsiya, Sbornik tezisov (27-30 sentyabrya 2016), Ufa, 2016, 119–120
14.
V. V. Napalkov (Jr.), “Orthosimilar expansion systems in space with reproducing kernel”, Ufa Math. Journal, 5:4 (2013), 88–100
15.
V.V. Napalkov (Jr.), On an analogue of Schwarz's reflection principle, 2013 (Published online) , 16 pp., arXiv: 1301.6239
16.
V. B. Napalkov (ml.), “O svoistve operatora umnozheniya na tseluyu funktsiyu v prostranstve Bargmana–Foka”, Mezhdunarodnaya nauchnaya konferentsiya “Nelineinyi analiz i spektralnye zadachi” (Ufa, 18–22 iyunya 2013 g.), Izdatelstvo Bashkirskogo gosudarstvennogo universiteta, Ufa, 2013, 100–102
17.
V. V. Napalkov, V. V. Napalkov (ml.), “Opisanie sopryazhennogo operatora k operatoru umnozheniya v prostranstve Foka”, Doklady Akademii Nauk, 447:2 (2012), 140–142
18.
V. V. Napalkov (jr.), “An equivalent integral norm in a dual space”, Ufimsk. Mat. Zh., 3:4 (2011), 122–132
19.
V. V. Napalkov (Jr.), “On orthosimilar systems in a space of analytical functions and the problem of describing the dual space”, Ufa Math. Journal, 3:1 (2011), 30–41
20.
V. V. Napalkov , V. V. Napalkov (ml.), “Operatory Dankla kak operatory svertki”, Doklady Akademii Nauk, 423:3 (2008), 300–302
V. V. Napalkov (ml.), “Sopryazhennye prostranstva k vesovomu prostranstvu tselykh funktsii”, Trudy instituta matematiki s VTs UNTs RAN, Vypusk 1, RITs BashGU, Ufa, 2008, 185–191
22.
V. V., Napalkov, V. V. Napalkov (ml.), “Sopryazhennye operatory v prostranstvakh tipa Foka”, Doklady Akademii Nauk, 414:5 (2007), 591–593
23.
V. V. Napalkov (Jr.), “Analogue of the Fock space”, Integral transform and special functions, Taylor & Francis Group, 18:2 (2007), 133–138
Napalkov V. V. (ml.), “Integralnye preobrazovaniya vesovykh prostranstv Bergmana”, Doklady Akademii Nauk, 397:1 (2004), 23–26
27.
V. V. Napalkov (ml.), “Razlichnye predstavleniya prostranstva analiticheskikh funktsii i zadacha opisaniya sopryazhennogo prostranstva”, Doklady Akademii Nauk, 387:2 (2002), 164–167 , Napalkov V. V. (Jr.) “Various representation of the space of analytics functions and the problem of the dual space description”, Doklady Mathematics, V.66, N3, P.335–337.
V. V. Napalkov (Jr.), R. S. Yulmukhametov, “On the Hilbert Transform in Bergman Space”, Math. Notes, 70:1 (2001), 61–70
29.
V. V. Napalkov Jr.and R. S. Yulmukhametov, “Criterion of surjectivity of the Cauchy transform operator on a Bergman space”, Lyubich, Yu. (ed.) et al., Entire functions in modern analysis. Boris Levin memorial conference., Proceedings of the conference (Tel-Aviv, Israel, December 14-19, 1997. Ramat-Gan: Bar-Ilan University), Gelbart Research Institute for Mathematical Sciences, Isr. Math. Conf. Proc., 15, 2001, 261–267
30.
V. V. Napalkov (ml.), “O preobrazovanii Fure - Laplasa analiticheskikh funktsionalov”, Aktualnye problemy matematiki. Matematicheskie metody v estestvoznanii: mezhvuz. nauch. sb., ISBN 5-86911-259-1, Ufimskii gos. aviatsionnyi tekhnicheskii universitet, Ufa, 1999
31.
V. V. Napalkov (ml.), “Neobkhodimoe uslovie syur'ektivnosti operatora preobrazovaniya Koshi”, Mezhdunarodnaya konferentsiya po kompleksnomu analizu i smezhnym voprosam, posvyaschennaya pamyati chl.-korr. AN SSSR A.F. Leonteva, Tezisy dokladov (Nizhnii Novgorod), NNGU, 1997, 51–52
32.
V. V. Napalkov (Jr.), “Borel transformations on Dirichlet spaces”, Math. Notes, 60:1 (1996), 42–48
33.
V. V. Napalkov (ml.), “O priblizhenii funktsii v prostranstve Bergmana eksponentami”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody i prilozheniya, T. 1 Kompleksnyi analiz, Sbornik statei, Institut matematiki s VTs RAN, Ufa, 1996, 81–90
34.
V. I. Lutsenko, V. V. Napalkov (ml.), “O bazisakh Rissa iz eksponent v prostranstve Bergmana”, Kompleksnyi analiz, differentsialnye uravneniya, chislennye metody, T. 1 Kompleksnyi analiz, Sbornik statei, Institut matematiki s VTs RAN, Ufa, 1996, 55–63
35.
V. V. Napalkov (Jr.), R. S. Yulmukhametov, “On the Cauchy transform of functionals on a Bergman space”, Russian Acad. Sci. Sb. Math., 82:2 (1995), 327–336
36.
V. V. Napalkov (Jr.), R. S. Yulmukhametov, “Weighted Fourier–Laplace transforms of analytic functionals on the disk”, Russian Acad. Sci. Sb. Math., 77:2 (1994), 385–390
37.
V. V. Napalkov, “Homogeneous systems of equations of convolution type on convex regions in $R^n$”, Dokl. Akad. Nauk SSSR, 219:4 (1974), 804–807
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