01.01.02 (Differential equations, dynamical systems, and optimal control)
Birth date:
18.03.1941
Keywords:
locally compact fields; finite fields; analysis in space over bodies; Radon transform; Fourier transform; Mobius function; transforms of convolution type; Gauss sum; q-analysis; q-physics.
Main publications:
Chernov V. G. Odnorodnye obobschennye funktsii v prostranstve pryamougolnykh matrits nad nepreryvnym lokalno kompaktnym nesvyaznym polem // DAN SSSR, 1970, 191, 540–543.
Ob odnoi funktsionalnoi algebre // Ukr. matem. zh., 1990, t. 42, # 3, s. 372–377.
Chernov V. G. O preobrazovanii Radona v prostranstve Khemminga // Izv. vuzov. Matematika, 1990, # 10, s. 50–55.
Chernov V. G. Preobrazovanie Fure normy Khamminga // Funkts. analiz. 1993, t. 27, vyp. 2, s. 87–89.
Chernov V. G. O svertkakh, indutsirovannykh avtomorfizmami lineinoi struktury algebry // Izv. vuzov. Matematika, 2001, # 2, s. 76–78.
V. G. Chernov, “On convolutions induced by automorphisms of the linear structure of an algebra”, Izv. Vyssh. Uchebn. Zaved. Mat., 2001, no. 2, 76–78; Russian Math. (Iz. VUZ), 45:2 (2001), 71–73
1993
2.
V. G. Chernov, “On the Fourier Transform of the Hamming Norm”, Funktsional. Anal. i Prilozhen., 27:2 (1993), 87–89; Funct. Anal. Appl., 27:2 (1993), 147–149
3.
V. G. Chernov, “On an operator in the space of complex-valued functions over a finite fiel”, Izv. Vyssh. Uchebn. Zaved. Mat., 1993, no. 6, 57–61; Russian Math. (Iz. VUZ), 37:6 (1993), 54–58
1990
4.
V. G. Chernov, “The Radon transform in Hemming spaces”, Izv. Vyssh. Uchebn. Zaved. Mat., 1990, no. 10, 50–55; Soviet Math. (Iz. VUZ), 34:10 (1990), 61–67
V. G. Chernov, “A class of integral equations in a space of functions over a finite field”, Differ. Uravn., 23:9 (1987), 1643–1645
6.
V. G. Chernov, “On a family of operators in a space of functions over a finite field”, Izv. Vyssh. Uchebn. Zaved. Mat., 1987, no. 1, 53–58; Soviet Math. (Iz. VUZ), 31:1 (1987), 71–77
1984
7.
V. G. Chernov, “On one method of harmonic linearization in automatic systems”, Avtomat. i Telemekh., 1984, no. 1, 167–172
1979
8.
V. G. Chernov, “$\pi$-homogeneous spherically symmetric generalized functions on $K^n$”, Izv. Vyssh. Uchebn. Zaved. Mat., 1979, no. 1, 70–75; Soviet Math. (Iz. VUZ), 23:1 (1979), 54–58
1977
9.
I. M. Burkin, V. G. Chernov, “On one approximate method to determine transient processes in nonlinear systems”, Avtomat. i Telemekh., 1977, no. 8, 5–11; Autom. Remote Control, 38:8 (1977), 1115–1120
1975
10.
E. E. Petrov, V. G. Chernov, “The Radon transform in a Grassman manifold over local fields”, Izv. Vyssh. Uchebn. Zaved. Mat., 1975, no. 1, 119–121; Soviet Math. (Iz. VUZ), 19:1 (1975), 102–104
1970
11.
V. G. Chernov, “Homogeneous generalized functions and the Radon transform in a space of rectangular matrices over a continuous locally compact disconnected field”, Dokl. Akad. Nauk SSSR, 191:3 (1970), 540–543
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