Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
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Keywords: local extremal problems for bounded analytic nonvanishing functions, multiple Fourier series, genezalized variation, trigonometric Fourier series, Cesaro means.

Main publications:

1. Bakhvalov A.N., “Summirovanie metodami Chezaro ryadov Fure funktsii iz mnogomernykh klassov Vatermana”, Doklady AN, 437:6 (2011), 731–733    
2. A. N. Bakhvalov, “On the local behaviour of the multidimensional $\Lambda$-variation”, Sb. Math., 201:11 (2010), 1563–1578                    
3. Bakhvalov A.N., “O skhodimosti i lokalizatsii kratnykh ryadov Fure dlya klassov funktsii ogranichennoi $\Lambda$-variatsii”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 2008, no. 3, 6–12      
4. A. N. Bakhvalov, “Representing non-periodic functions of bounded $\Lambda$-variation by multi-dimensional Fourier integrals”, Izv. Math., 67:6 (2003), 1081–1100                
5. A. N. Bakhvalov, “$\lambda$-Divergence of the Fourier Series of Continuous Functions of Several Variables”, Math. Notes, 72:4 (2002), 454–465              
6. A. N. Bakhvalov, “Continuity in $\Lambda$-variation of functions of several variables and convergence of multiple Fourier series”, Sb. Math., 193:12 (2002), 1731–1748              
7. A. N. Bakhvalov, “Divergence everywhere of the Fourier series of continuous functions of several variables”, Sb. Math., 188:8 (1997), 1153–1170              

Recent publications

Presentations in Math-Net.Ru

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Organisations:

• Lomonosov Moscow State University, Faculty of Mechanics and Mathematics