Complex analysis, function theory, distributions, linear operators
Biography
Graduated from Bashikirian state unversity in 1981 (department of theory of functions and functional analysis). Ph.D. thesis was defended in 1987.
Main publications:
I. Kh. Musin, P. V. Yakovleva, “On a space of smooth functions on a convex unbounded set in $\mathbb R^{n }$ admitting holomorphic extension in $\mathbb C^ {n }$”, Central European Journal of Mathematics, 10:2 (2012), 665–692
I. Kh. Musin, “Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions on $\mathbb R^n$”, Sb. Math., 195:10 (2004), 1477–1501
I. Kh. Musin, “On the Representation of Infinitely Differentiable Functions by Series of Exponentials”, Math. Notes, 73:3 (2003), 370–382
I. Kh. Musin, “A Paley–Wiener type theorem for a weighted space of infinitely differentiable functions”, Izv. Math., 64:6 (2000), 1271–1295
I. Kh. Musin, “Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions”, Sb. Math., 191:10 (2000), 1477–1506
I. Kh. Musin, “Constructive description of a class of periodic functions on the real line”, Russian Math. (Iz. VUZ), 67:2 (2023), 32–42
2.
I. Kh. Musin, “On the space of periodic ultradifferentiable functions of Roumieu type and its dual”, Izv. Vyssh. Uchebn. Zaved. Mat., 2023, no. 4, 89–95
3.
A. V. Lutsenko, I. Kh. Musin, R. S. Yulmukhametov, “On Gelfand–Shilov spaces”, Ufa Math. J., 15:3 (2023), 88–96
4.
I. Kh. Musin, “On the Fourier-Laplace transform of functionals on a space of infinitely differentiable functions on a convex compact”, Journal of Mathematical Analysis and Applications, 505:2, 125509 (2022), 15
A. V. Lutsenko, I. Kh. Musin, R. S. Yulmukhametov, “On a class of periodic functions in $\mathbb{R}^n$”, Ufa Math. J., 14:4 (2022), 69–75
6.
A. V. Lutsenko, I. Kh. Musin, “On space of holomorphic functions with boundary smoothness and its dual”, Ufa Math. J., 13:3 (2021), 80–94
7.
I. Kh. Musin, “On Fourier–Laplace transform of a class of generalized functions”, Ufa Math. J., 12:4 (2020), 78–89
8.
I. Kh. Musin, “Оn a space of holomorphic functions on a bounded convex domain of ${\mathbb C}^n$ and smooth up to the boundary and its dual space”, Vladikavkaz. Mat. Zh., 22:3 (2020), 100–111
9.
I. Kh. Musin, “Approximation of infinitely differentiable functions on the real line by polynomials in weighted spaces”, Complex Analysis. Mathematical Physics, Itogi Nauki i Tekhniki. Ser. Sovrem. Mat. Pril. Temat. Obz., 162, VINITI, Moscow, 2019, 57–61
10.
I. Kh. Musin, “On A Certain Class of Entire Functions”, J. Math. Sci. (N. Y.), 252:3 (2021), 428–435
11.
I. Kh. Musin, “On some linear operators on Fock type space”, Ufa Math. J., 10:4 (2018), 85–91
12.
I. Kh. Musin, “Approximation of infinitely differentiable functions in unbounded convex domains by polynomials in weighted spaces”, Journal of Mathematical Sciences, 245:1 (2020), 40–47
13.
I. Kh. Musin, “On a Hilbert space of entire functions”, Ufa Math. Journal, 9:3 (2017), 109–117
14.
I. X. Musin, “Opisanie odnogo klassa tselykh funktsii”, Materialy III Mezhdunarodnoi shkoly-konferentsii “Geometricheskii analiz i ego prilozheniya” (Volgograd, 30 maya – 3 iyunya 2016 g.)), Volgograd: Izd-vo VolGU, 2016, 152–153
15.
I. X. Musin, “O svoistvakh preobrazovaniya Yunga-Fenkhelya”, Ufimskaya mezhdunarodnaya matematicheskaya konferentsiya: sbornik tezisov (Ufa, 27 – 30 sentyabrya 2016 g.), eds. R. N. Garifullin, Ufa: RITs BashGU, 2016, 113–114
16.
I. X. Musin, P. V. Yakovleva, “Differentsialno-raznostnyi operator v prostranstve Shvartsa”, Ufimskaya mezhdunarodnaya matematicheskaya konferentsiya: sbornik tezisov (Ufa, 27 – 30 sentyabrya 2016 g.), eds. R. N. Garifullin, Ufa: RITs BashGU, 2016, 115
17.
I. Kh. Musin, “Perturbation of a surjective convolution operator”, Ufa Math. Journal, 8:4 (2016), 123–130
Musin Il’dar Kh, “On a space of entire functions rapidly decreasing on Rn and its Fourier transform”, Concrete Operators, 2:1 (2015), 120–138
20.
Il’dar Kh. Musin Marat I. Musin, “On a space of entire functions rapidly decreasing on the real axis and its Fourier transform”, European Journal of Mathematics, 1:2 (2015), 367–386
21.
I. Kh. Musin, M. I. Musin, “On Fourier transformation of a class of entire functions”, Ufa Math. Journal, 6:4 (2014), 108–121
I. X. Musin, “Ob odnom primenenii metoda $L_2$-otsenok dlya operatora $\overline {\partial}$”, Materialy III Mezhdunarodnoi shkoly-konferentsii “Geometricheskii analiz i ego prilozheniya” (g. Volgograd, 26-30 maya 2014 g.), Izd-vo VolGU, 2014, 104–105
24.
I. X. Musin, “Differentsialno-raznostnyi operator v prostranstvakh beskonechno differentsiruemykh funktsii”, Trudy Matematicheskogo tsentra imeni N.I. Lobachevskogo, 46, Kazanskii (Privolzhskii) federalnyi universitet, 2013, 322–325
25.
N. V. IIbadov, I. K. Musin, “Difference equations in weighted spaces of sequence”, Functiones et approximatio, Commentarii mathematici, 49:2 (2013), 357–370
26.
I. X. Musin, “O nekotorykh prostranstvakh gladkikh i tselykh funktsii i sopryazhënnykh k nim”, Mezhdunarodnyi simpozium “Ryady Fure i prilozheniya” . Tezisy dokladov (Rossiya, Abrau-Dyurso, 27.05.2012 - 03.06.2012.), SKNTs VSh YuFU, Rostov-na-Donu, 2012, 114–115
27.
I. X. Musin, “O gipertsiklicheskikh operatorakh v prostranstvakh beskonechno differentsiruemykh funktsii”, International Scientific Journal Spectral and Evolution Problems: Proceedings of the Twenty Second Crimean Autumn Mathematical School-Symposium, 22/Group of. (2012), 149–151
28.
Musin I. K., “Approximation by polynomials in a weighted space of infinitely differentiable functions with an application to hypercyclicity”, Extracta Mathematicae, 27:1 (2012), 75–90 http://www.eweb.unex.es/eweb/extracta/Vol-27-1/27B1Musin.pdf
29.
I. Kh. Musin, P. V. Yakovleva, “On a space of smooth functions on a convex unbounded set in $\mathbb R^{n }$ admitting holomorphic extension in $\mathbb C^ {n }$”, Central European Journal of Mathematics, 10:2 (2012), 665–692
I. Kh. Musin, S. V. Popënov, “On a weight space of infinitely differentiable functions in $\mathbb R^n$”, Ufimsk. Mat. Zh., 2:3 (2010), 54–62
31.
I. Kh. Musin, P. V. Fedotova, “A Theorem of Paley–Wiener Type for Ultradistributions”, Math. Notes, 85:6 (2009), 848–867
32.
I. Kh. Musin, P. V. Fedotova, “On a class of infinitely differentiable functions on unbounded convex set in $\mathbb R^n$ admitting holomorphic continuation in $\mathbb C^n$”, Ufimsk. Mat. Zh., 1:2 (2009), 75–100
33.
N. T. Ahtyamov, I. Kh. Musin, “On existence of a basis in a weighted space of entire functions”, Ufimsk. Mat. Zh., 1:1 (2009), 3–15
34.
I. Kh. Musin, “Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions on $\mathbb R^n$”, Sb. Math., 195:10 (2004), 1477–1501
35.
I. Kh. Musin, “On the Representation of Infinitely Differentiable Functions by Series of Exponentials”, Math. Notes, 73:3 (2003), 370–382
36.
I. Kh. Musin, “Surjectivity of Linear Differential Operators in a Weighted Space of Infinitely Differentiable Functions”, Math. Notes, 71:5 (2002), 649–660
37.
I. Kh. Musin, “A Paley–Wiener type theorem for a weighted space of infinitely differentiable functions”, Izv. Math., 64:6 (2000), 1271–1295
38.
I. Kh. Musin, “Fourier–Laplace transformation of functionals on a weighted space of infinitely smooth functions”, Sb. Math., 191:10 (2000), 1477–1506
39.
V. V. Napalkov, I. Kh. Musin, “On a functional equation in $\rho$-convex domains”, Proc. Steklov Inst. Math., 203 (1995), 137–143
40.
V. V. Napalkov, I. Kh. Musin, “Polynomial approximation in a weighted space of entire functions”, Dokl. Math., 49:1 (1994), 25–28
41.
I. Kh. Musin, “Paley–Wiener type theorems for functions analytic in tube domains”, Math. Notes, 53:4 (1993), 418–423
42.
I. Kh. Musin, “Laplace transform of a class of tempered distributions”, Theoret. and Math. Phys., 94:3 (1993), 272–276
43.
V. V. Napalkov, I. Kh. Musin, “The description of analytic functionals in some classes of
domains”, Dokl. Math., 45:2 (1992), 375–378
44.
V. E. Adler, P. Winternitz, R. N. Garifullin, A. V. Zhiber, D. Levi, A. V. Mikhailov, I. Kh. Musin, F. W. Nijhoff, V. V. Sokolov, B. I. Suleimanov, E. V. Ferapontov, A. P. Fordy, I. T. Habibullin, I. Yu. Cherdantsev, R. A. Sharipov, R. S. Yulmukhametov, “In memory of Yamilov Ravil Islamovich”, Ufa Math. J., 12:3 (2020), 119–120
On classes of holomorphic functions in tube domains I. Kh. Musin 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 July 7, 2023 12:00
Linear operators on Fock type spaces Il'dar Musin Conference on Complex Analysis and Mathematical Physics, dedicated to the 70th birthday of A. G. Sergeev March 19, 2019 16:50
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