Edit Profile (opens in new tab) Lukashenko, Taras P. Co-Author Distance Author ID: lukashenko.taras-p Published as: Lukashenko, T. P.; Lukashenko, Taras P.; Lukašenko, T. P. more...less External Links: MGP Documents Indexed: 71 Publications since 1971 1 Further Contribution Co-Authors: 75 Co-Authors with 16 Joint Publications 1,860 Co-Co-Authors all top 5 Co-Authors 55 single-authored 10 Sadovnichiĭ, Viktor Antonovich 7 Galatenko, Vladimir V. 2 Kashin, Boris Sergeevich 2 Solodov, Alekseĭ Petrovich 2 Stëpin, Anatoliĭ Mikhaĭlovich 1 Abdrasheva, G. 1 Adrianov, Nikolai M. 1 Akishev, Gabdolla Akishevich 1 Arkhipov, Gennadiĭ Ivanovich 1 Artamonov, Vyacheslav Aleksandrovich 1 Askarov, A. A. 1 Bahturin, Yuri 1 Balaba, Irina Nikolaevna 1 Bisaliev, E. Zh. 1 Bokaev, N. A. 1 Bokut, Leonid A. 1 Borisenko, Vladimir V. 1 Borodin, Petr A. 1 Bunina, Elena Igor’evna 1 Chirskiĭ, Vladimir Grigor’evich 1 Chubarikov, Vladimir Nikolaevich 1 Chubarov, Igor A. 1 Dubrovin, Nikolaĭ Ivanovich 1 D’yachenko, Mikhaĭl Ivanovich 1 Esmaganbetov, M. G. 1 Fedorov, V. M. 1 Gaifullin, Sergey A. 1 Galin, G. Ya. 1 Galochkin, A. I. 1 Glavatskiĭ, Sergeĭ Timofeevich 1 Golubchik, Igor Z. 1 Golubov, Boris Ivanovich 1 González, Santos 1 Grishin, Aleksandr V. 1 Guterman, Alexander Èmilevich 1 Ibatov, A. 1 Ibraimkulov, A. M. 1 Ilyina, N. K. 1 Il’ysov, Sh. I. 1 Imambaeva, B. D. 1 Kanel’-Belov, Alekseĭ Yakovlevich 1 Kanunnikov, Andrei Leonidovich 1 Karatsuba, Anatoliĭ Alekseevich 1 Kharchenko, Vladislav K. 1 Khaseinov, K. A. 1 Kholshchevnikova, Natal’ya Nikolaevna 1 Kislitsyn, E. S. 1 Klyachko, Anton Aleksandrovich 1 Kozhukhov, Igor’ Borisovich 1 Kreĭnes, Elena M. 1 Kulikova, O. V. 1 Kusainova, L. K. 1 Latyshev, Viktor Nikolaevich 1 Lukashenko, S. Yu. 1 Lupanov, Oleg Borisovich 1 Lytkin, S. M. 1 Makarov, Yu. N. 1 Makazhanova, T. Kh. 1 Markova, Olga V. 1 Martínez López, Consuelo 1 Mel’nikov, I. I. 1 Mikhalëv, Aleksandr Vasil’evich 1 Mikhalëv, Aleksandr Aleksandrovich 1 Muratbekov, Mussakan Baipakbaevich 1 Nesterenko, Yuriĭ Valentinovich 1 Nikol’skiĭ, Sergeĭ Mikhaĭlovich 1 Novitskaya, A. M. 1 Ol’shanskiĭ, Aleksandr Yur’evich 1 Ospanov, Kordan Nauryzkhanovich 1 Pchelintsev, Sergeĭ Valentinovich 1 Pentus, Anna Evgen’evna 1 Petrov, A. V. 1 Plotnikov, Mikhail G. 1 Potapov, Mikhaĭl Konstantinovich 1 Prokhorov, Yuriĭ Gennad’evich 1 Rodionov, Timofeĭ Viktorovich 1 Ryazonova, M. P. 1 Seksenbaeva, A. K. 1 Shafarevich, Andreĭ Igorevich 1 Shafarevich, Anton A. 1 Shestakov, Ivan Pavlovich 1 Shirshova, Elena Evgen’evna 1 Shpilrain, V. E. 1 Simonov, Boris Vital’evich 1 Skvortsov, Valentin Anatol’evich 1 Smailov, Esmukhanbet Saĭdakhmetovich 1 Tazabekov, S. 1 Temlyakov, Vladimir Nikolaevich 1 Tenzina, V. V. 1 Tikhonov, Sergey Yur’evich 1 Timashev, Dmitri A. 1 Trenogin, Vladilen Aleksandrovich 1 Tuganbaev, Askar Akanovich 1 Tul’kubaev, A. D. 1 Tumaykin, I. N. 1 Ul’yanov, Pëtr Lavrent’evich 1 Zaĭtsev, Mikhail Vladimirovich 1 Zel’manov, Efim Isaakovich 1 Zhajnibekova, M. A. 1 Zhantlesov, Zh. Kh. all top 5 Serials 14 Moscow University Mathematics Bulletin 7 Mathematics of the USSR. Izvestiya 5 Mathematical Notes 5 Izvestiya Akademii Nauk SSSR. Seriya Matematicheskaya 3 Matematicheskiĭ Sbornik. Novaya Seriya 3 Mathematics of the USSR, Sbornik 3 Vestnik Moskovskogo Universiteta. Seriya I. Matematika, Mekhanika 3 Izvestiya: Mathematics 2 Russian Mathematical Surveys 2 Soviet Mathematics. Doklady 2 Russian Mathematics 2 Mathematica Montisnigri 2 Journal of Mathematical Sciences (New York) 2 Fundamental’naya i Prikladnaya Matematika 2 Doklady Mathematics 2 Chebyshevskiĭ Sbornik 2 Proceedings of the Steklov Institute of Mathematics 1 Analysis Mathematica 1 Matematicheskie Zametki 1 Soviet Mathematics 1 Russian Academy of Sciences. Izvestiya. Mathematics 1 Russian Academy of Sciences. Doklady. Mathematics 1 Sbornik: Mathematics 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Fields 58 Harmonic analysis on Euclidean spaces (42-XX) 9 Measure and integration (28-XX) 7 Real functions (26-XX) 6 History and biography (01-XX) 6 Abstract harmonic analysis (43-XX) 5 Functional analysis (46-XX) 4 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 2 Integral transforms, operational calculus (44-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 29 Publications have been cited 76 times in 40 Documents Cited by ▼ Year ▼ Properties of orthorecursive expansions over nonorthogonal systems. Zbl 1023.42014 Lukashenko, T. P. 19 2001 On orthorecursive expansions in terms of a chain of systems. Zbl 1178.46023 Lukashenko, T. P.; Sadovnichii, V. A. 8 2009 Orthorecursive expansions with respect to subspaces. Zbl 1259.46007 Lukashenko, T. P.; Sadovnichii, V. A. 5 2012 Coefficients with respect to orthogonal-like decomposition systems. Zbl 0912.42015 Lukashenko, T. P. 4 1997 Properties of expansion systems similar to orthogonal ones. Zbl 0924.42024 Lukashenko, T. P. 3 1998 On the properties of orthorecursive expansions with respect to subspaces. Zbl 1318.46012 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichii, V. A. 3 2014 A condition for almost everywhere convergence of orthorecursive expansions. Zbl 1368.42024 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichii, V. A. 3 2016 Wavelets on topological groups. Zbl 0843.42020 Lukashenko, T. P. 2 1994 Bases of trigonometric polynomials consisting of shifts of Dirichlet kernels. Zbl 1311.42002 Lukashenko, T. P. 2 2014 Orthogonal basis of shifts in space of trigonometric polynomials. Zbl 1310.42001 Lukashenko, T. P. 2 2014 Convergence almost everywhere of orthorecursive expansions in functional systems. Zbl 1364.42031 Galatenko, Vladimir V.; Lukashenko, Taras P.; Sadovnichiy, Victor A. 2 2016 Generalized expansion systems similar to orthogonal ones. Zbl 1029.42024 Lukashenko, T. P. 2 1998 Systems of expansions similar to orthogonal systems. Zbl 0918.42024 Lukashenko, T. P. 2 1997 Orthosimilar nonnegative expansion systems. Zbl 0914.47022 Lukashenko, T. P. 2 1997 On new expansion systems and their properties. Zbl 1139.42007 Lukashenko, T. P. 2 2004 The \(A\) -integral and its application in the study of P. L. Ul’yanov and other matematicians. Zbl 1158.42303 Lukashenko, T. P. 2 2008 A-integrability of functions. Zbl 0526.28004 Lukashenko, T. P. 1 1982 Properties of generalized decomposition systems similar to orthogonal systems. Zbl 1007.42019 Lukashenko, T. P. 1 2000 Orthorecursive Fourier-Stieltjes expansions. Zbl 1296.42016 Lukashenko, T. P. 1 2013 Expansion over a system of shifts of pyramidal functions. Zbl 1304.41004 Lukashenko, T. P.; Lytkin, S. M. 1 2009 Convergence almost everywhere of orthorecursive expansions in systems of translates and dilates. Zbl 1421.42019 Galatenko, Vladimir V.; Lukashenko, Taras P.; Sadovnichiy, Victor A. 1 2019 Analogs of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal function systems. Zbl 0970.42019 Lukashenko, T. P. 1 2000 The absolute stability of orthorecursive expansions in redundant systems of subspaces. Zbl 1335.41008 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichiy, V. A. 1 2015 On recursive decompositions of measures. Zbl 1292.28005 Lukashenko, T. P. 1 2012 Boks-integrable nonmeasurable functions. Zbl 0361.28003 Lukashenko, T. P. 1 1975 An analog of the Menshov-Rademacher theorem for generalized orthosimilar systems. Zbl 0965.42020 Lukashenko, T. P. 1 1999 On the convergence of generalized systems similar to orthogonal ones. Zbl 0980.42026 Lukashenko, T. P.; Rodionov, T. V. 1 2000 On the A-integral representation of the Hilbert transform and conjugate function. Zbl 0506.44005 Lukashenko, T. P. 1 1982 Union of sets of divergence of functional series. Zbl 0519.42009 Lukashenko, T. P. 1 1982 Convergence almost everywhere of orthorecursive expansions in systems of translates and dilates. Zbl 1421.42019 Galatenko, Vladimir V.; Lukashenko, Taras P.; Sadovnichiy, Victor A. 1 2019 A condition for almost everywhere convergence of orthorecursive expansions. Zbl 1368.42024 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichii, V. A. 3 2016 Convergence almost everywhere of orthorecursive expansions in functional systems. Zbl 1364.42031 Galatenko, Vladimir V.; Lukashenko, Taras P.; Sadovnichiy, Victor A. 2 2016 The absolute stability of orthorecursive expansions in redundant systems of subspaces. Zbl 1335.41008 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichiy, V. A. 1 2015 On the properties of orthorecursive expansions with respect to subspaces. Zbl 1318.46012 Galatenko, V. V.; Lukashenko, T. P.; Sadovnichii, V. A. 3 2014 Bases of trigonometric polynomials consisting of shifts of Dirichlet kernels. Zbl 1311.42002 Lukashenko, T. P. 2 2014 Orthogonal basis of shifts in space of trigonometric polynomials. Zbl 1310.42001 Lukashenko, T. P. 2 2014 Orthorecursive Fourier-Stieltjes expansions. Zbl 1296.42016 Lukashenko, T. P. 1 2013 Orthorecursive expansions with respect to subspaces. Zbl 1259.46007 Lukashenko, T. P.; Sadovnichii, V. A. 5 2012 On recursive decompositions of measures. Zbl 1292.28005 Lukashenko, T. P. 1 2012 On orthorecursive expansions in terms of a chain of systems. Zbl 1178.46023 Lukashenko, T. P.; Sadovnichii, V. A. 8 2009 Expansion over a system of shifts of pyramidal functions. Zbl 1304.41004 Lukashenko, T. P.; Lytkin, S. M. 1 2009 The \(A\) -integral and its application in the study of P. L. Ul’yanov and other matematicians. Zbl 1158.42303 Lukashenko, T. P. 2 2008 On new expansion systems and their properties. Zbl 1139.42007 Lukashenko, T. P. 2 2004 Properties of orthorecursive expansions over nonorthogonal systems. Zbl 1023.42014 Lukashenko, T. P. 19 2001 Properties of generalized decomposition systems similar to orthogonal systems. Zbl 1007.42019 Lukashenko, T. P. 1 2000 Analogs of the Kolmogorov-Seliverstov-Plessner theorem for nonorthogonal function systems. Zbl 0970.42019 Lukashenko, T. P. 1 2000 On the convergence of generalized systems similar to orthogonal ones. Zbl 0980.42026 Lukashenko, T. P.; Rodionov, T. V. 1 2000 An analog of the Menshov-Rademacher theorem for generalized orthosimilar systems. Zbl 0965.42020 Lukashenko, T. P. 1 1999 Properties of expansion systems similar to orthogonal ones. Zbl 0924.42024 Lukashenko, T. P. 3 1998 Generalized expansion systems similar to orthogonal ones. Zbl 1029.42024 Lukashenko, T. P. 2 1998 Coefficients with respect to orthogonal-like decomposition systems. Zbl 0912.42015 Lukashenko, T. P. 4 1997 Systems of expansions similar to orthogonal systems. Zbl 0918.42024 Lukashenko, T. P. 2 1997 Orthosimilar nonnegative expansion systems. Zbl 0914.47022 Lukashenko, T. P. 2 1997 Wavelets on topological groups. Zbl 0843.42020 Lukashenko, T. P. 2 1994 A-integrability of functions. Zbl 0526.28004 Lukashenko, T. P. 1 1982 On the A-integral representation of the Hilbert transform and conjugate function. Zbl 0506.44005 Lukashenko, T. P. 1 1982 Union of sets of divergence of functional series. Zbl 0519.42009 Lukashenko, T. P. 1 1982 Boks-integrable nonmeasurable functions. Zbl 0361.28003 Lukashenko, T. P. 1 1975 all cited Publications top 5 cited Publications all top 5 Cited by 30 Authors 14 Lukashenko, Taras P. 8 Sadovnichiĭ, Viktor Antonovich 7 Galatenko, Vladimir V. 4 Terekhin, Pavel Aleksandrovich 2 Efimova, M. P. 2 Lytkin, S. M. 2 Politov, A. V. 1 Al-jourany, Khalid Hadi Hameed 1 Baranova, I. S. 1 Benedetto, John Joseph 1 Benedetto, Robert L. 1 Dominguez, Oscar 1 Fadeeva, A. V. 1 Filippov, Vadim Ivanovich 1 Jiang, Huikun 1 Kalmynin, A. B. 1 Kosenko, P. R. 1 Kudryavtsev, A. Yu. 1 Li, Dengfeng 1 Mironov, Vladimir A. 1 Napalkov, Valentin Vasil’evich 1 Napalkov, Valeriĭ Valentinovich 1 Novikov, Sergey Ya. 1 Orlova, Anastasia S. 1 Paunov, A. K. 1 Rybin, Vladimir Vasil’evich 1 Slovesnov, Aleksandr Viktorovich 1 Speranskiĭ, Konstantin Sergeevich 1 Stepanyants, P. S. 1 Zakharova, Anastasia A. all top 5 Cited in 15 Serials 11 Moscow University Mathematics Bulletin 9 Mathematical Notes 2 Russian Mathematics 2 Journal of Mathematical Sciences (New York) 2 Doklady Mathematics 2 Proceedings of the Steklov Institute of Mathematics 1 Journal of Mathematical Analysis and Applications 1 Functional Analysis and its Applications 1 Memoirs of the American Mathematical Society 1 The Journal of Geometric Analysis 1 Sbornik: Mathematics 1 Izvestiya: Mathematics 1 Differentsial’nye Uravneniya i Protsessy Upravleniya 1 International Journal of Number Theory 1 Izvestiya Saratovskogo Universiteta. Novaya Seriya. Seriya Matematika, Mekhanika, Informatika all top 5 Cited in 11 Fields 32 Harmonic analysis on Euclidean spaces (42-XX) 7 Approximations and expansions (41-XX) 7 Functional analysis (46-XX) 3 Real functions (26-XX) 2 Measure and integration (28-XX) 2 Abstract harmonic analysis (43-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Number theory (11-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year