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Bakhvalov, Alexandr Nikolaevich
Total publications: 43 (43)
in MathSciNet: 21 (21)
in zbMATH: 18 (18)
in Web of Science: 8 (8)
in Scopus: 12 (12)
Cited articles: 12
Citations: 54
Presentations: 1

Number of views:
This page:2500
Abstract pages:5608
Full texts:1959
References:618
Associate professor
Doctor of physico-mathematical sciences (2011)
Speciality: 01.01.01 (Real analysis, complex analysis, and functional analysis)
E-mail:
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  mathscinet  zmath
  2. A. N. Bakhvalov, “On the local behaviour of the multidimensional $\Lambda$-variation”, Sb. Math., 201:11 (2010), 1563–1578  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
  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  mathnet  mathscinet  zmath
  4. A. N. Bakhvalov, “Representing non-periodic functions of bounded $\Lambda$-variation by multi-dimensional Fourier integrals”, Izv. Math., 67:6 (2003), 1081–1100  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
  5. A. N. Bakhvalov, “$\lambda$-Divergence of the Fourier Series of Continuous Functions of Several Variables”, Math. Notes, 72:4 (2002), 454–465  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  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  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
  7. A. N. Bakhvalov, “Divergence everywhere of the Fourier series of continuous functions of several variables”, Sb. Math., 188:8 (1997), 1153–1170  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

https://www.mathnet.ru/eng/person8526
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Full list of publications:
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Citations (Crossref Cited-By Service + Math-Net.Ru)
1. Bakhvalov A.N., “O predstavlenii neperiodicheskikh funktsii ogranichennoi $\Lambda$-variatsii integralom Fure”, Teoriya priblizhenii i garmonicheskii analiz. Tezisy konf. (Tula, 1998), 36–37
2. Bakhvalov A.N., “O skhodimosti po treugolnikam ryadov Fure funktsii ogranichennoi $\Lambda$-variatsii”, Sovremennye metody teorii funktsii i smezhnye problemy. Tezisy dokl. (Voronezh, 1999), 32
3. Bakhvalov A.N., “O $\Lambda$-variatsii funktsii dvukh peremennykh po malomu kvadratu”, Sovremennye metody teorii funktsii i smezhnye problemy. Tezisy dokl. (Voronezh, 2001), 34–35
4. Bakhvalov A.N., “O $\lambda$-raskhodimosti kratnogo ryada Fure nepreryvnoi funktsii”, Sovremennye problemy teorii funktsii i ikh prilozheniya. Tezisy dokl. (Saratov, 2002), 14–16
5. Bakhvalov A.N., “O nepreryvnosti po $\Lambda$-variatsii funktsii mnogikh peremennykh”, X mezhdunar. konf. «Matematika. Ekonomika. Obrazovanie». II mezhdunar. simpozium «Ryady Fure i ikh prilozheniya». Tezisy dokl. (Rostov n/D., 2002), 12–13  zmath
6. Bakhvalov A.N., “Neperiodicheskie klassy Vatermana i predstavlenie funktsii na ploskosti integralom Fure”, Mezhdunar. shkola-seminar po geometrii i analizu, posv. pamyati N. V. Efimova. Trudy uchastnikov. (Rostov n/D., 2002), 101–102
7. Bakhvalov A.N., “Obobschenie ponyatiya nepreryvnosti po $\Lambda$-variatsii na mnogomernyi sluchai”, Sovremennye metody teorii funktsii i smezhnye problemy. Materialy konf. (Voronezh, 2003), 29–30
8. Bakhvalov A.N., “Mnogomernye klassy Vatermana i predstavlenie funktsii integralom Fure”, Sovremennye problemy teorii funktsii i ikh prilozheniya. Tezisy dokl. (Saratov, 2004), 17–19
9. Bakhvalov A.N., “O kratnykh ryadakh Fure funktsii ogranichennoi $\Lambda$-variatsii”, Sovremennye metody teorii funktsii i smezhnye problemy. Materialy konf. (Voronezh, 2005), 28–29
10. Bakhvalov A.N., “O svoistve lokalizatsii dlya mnogomernykh klassov Vatermana”, Sovremennye problemy teorii funktsii i ikh prilozheniya. Tezisy dokl. (Saratov, 2006), 24–25
11. Bakhvalov A.N., “O lokalizatsii ryadov Fure dlya mnogomernykh klassov Vatermana”, XIV mezhdunar. konf. «Matematika. Ekonomika. Obrazovanie». IV mezhdunar. simpozium «Ryady Fure i ikh prilozheniya». Tezisy dokl. (Rostov n/D., 2006), 12
12. Bakhvalov A.N., “O lokalizatsii i skhodimosti ryadov Fure dlya mnogomernykh klassov Vatermana”, Sovremennye metody teorii funktsii i smezhnye problemy. Materialy konf. (Voronezh, 2007), 21–22  mathscinet
13. Bakhvalov A.N., “Mnogomernye klassy Vatermana i skhodimost ryadov Fure”, Mezhdunar. konf., posvyaschënnaya pamyati I.G.Petrovskogo. Tezisy dokl. (Moskva, 2007), 30
14. Bakhvalov A.N., “Primery funktsii ogranichennoi $\Lambda$-variatsii s raskhodyaschimisya ryadami Fure”, Sovremennye problemy teorii funktsii i ikh prilozheniya. Tezisy dokl. (Saratov, 2008), 20–21
15. Bakhvalov A.N., “O primerakh funktsii iz mnogomernykh klassov Vatermana s raskhodyaschimsya ryadom Fure”, XVI mezhdunar. konf. «Matematika. Ekonomika. Obrazovanie». V mezhdunar. simpozium «Ryady Fure i ikh prilozheniya». Tezisy dokl. (Rostov n/D., 2008), 10–11
16. Bakhvalov A.N., “Kusochno-monotonnye priblizheniya funktsii iz klassov Vatermana”, Mezhdunar. konf. «Sovremennye problemy matematiki, mekhaniki i prilozhenii», posvyaschënnaya 70-letiyu V.A.Sadovnichego. Materialy konf. (Moskva, 2009), 70
17. Bakhvalov A.N., “O summirovanii ryadov Fure funktsii iz mnogomernykh klassov ogranichennoi $\Lambda$-variatsii.”, Sovremennye problemy matematiki, mekhaniki, informatiki. Tezisy dokl. (Tula, 2009), 13–16
18. Bakhvalov A.N., “O nepreryvnosti po $\Lambda$-variatsii funktsii mnogikh peremennykh”, Sovremennye problemy teorii funktsii i ikh prilozheniya. Tezisy dokl. (Saratov, 2010), 20–21
19. Bakhvalov A.N., “O koeffitsientakh Fure funktsii iz mnogomernykh klassov Vatermana”, «Sovremennye problemy analiza i prepodavaniya matematiki», materialy Mezhdunar. konf., posvyaschënnoi 105-letiyu akad. S.M.Nikolskogo (Moskva, 2010), 11-12
20. Bakhvalov A.N., “O lokalizatsii srednikh Chezaro ryadov Fure dlya funktsii iz klassov Vatermana”, XVIII mezhdunar. konf. «Matematika. Ekonomika. Obrazovanie». VI mezhdunar. simpozium «Ryady Fure i ikh prilozheniya». Mezhdistsiplinarnyi seminar «Informatsionno-kommunikatsionnye tekhnologii». Tezisy dokl. (Rostov n/D., 2010), 9
21. Bakhvalov A.N., “O klassakh funktsii ogranichennoi nepolnoi $\Lambda$-variatsii”, Sovremennye metody teorii funktsii i smezhnye problemy. Materialy konf. (Voronezh, 2011), 42–43

   2013
22. A. N. Bakhvalov, “Weakened continuity in $\Lambda$-variation and localization of double Cesáro means”, Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 68:4 (2013), 182–187  mathnet  crossref  mathscinet  zmath  scopus

   2011
23. A. N. Bakhvalov, “On the Fourier coefficients of functions from multidimensional bounded $\Lambda$-variation classes”, Moscow University Mathematics Bulletin, 66:1 (2011), 8–16  mathnet  crossref  mathscinet  zmath  elib  scopus
24. Bakhvalov A.N., “Summirovanie metodami Chezaro ryadov Fure funktsii iz mnogomernykh klassov Vatermana”, Doklady AN, 437:6 (2011), 731–733  mathscinet  zmath
25. Bakhvalov A.N., “O lokalizatsii kratnykh ryadov Fure dlya funktsii ogranichennoi nepolnoi $\Lambda$-variatsii”, Sovremennye problemy matematiki i mekhaniki, T.6. Matematika. Vypusk 1. K 105-letiyu S.M.Nikolskogo, izd-vo Mosk. un-ta, M., 2011, 27–51
26. A. N. Bakhvalov, “Localization of Cesaro means of Fourier series for functions of bounded $\Lambda$-variation”, Russian Math. (Iz. VUZ), 55:8 (2011), 7–10  mathnet  crossref  mathscinet  scopus
27. A. N. Bakhvalov, “Continuity in $\Lambda$-Variation and Summation of Multiple Fourier Series by Cesàro Methods”, Math. Notes, 90:4 (2011), 469–484  mathnet  crossref  crossref  mathscinet  isi  elib  elib  scopus

   2010
28. A. N. Bakhvalov, “On the local behaviour of the multidimensional $\Lambda$-variation”, Sb. Math., 201:11 (2010), 1563–1578  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   2009
29. Bakhvalov A.N., “Klassy Vatermana i kusochno-monotonnye priblizheniya”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 2009, no. 6, 46–48  mathnet  mathscinet  zmath
30. A. N. Bakhvalov, “Examples of Divergent Fourier Series for Classes of Functions of Bounded $\Lambda$-Variation”, Math. Notes, 86:5 (2009), 629–636  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2008
31. 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  mathnet  mathscinet  zmath 2

   2007
32. Bakhvalov A.N., “O lokalizatsii dlya kratnykh ryadov Fure funktsii ogranichennoi garmonicheskoi variatsii”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 2007, no. 1, 13–18  mathnet  mathscinet  zmath

   2006
33. A. N. Bakhvalov, “On local behaviour of multi-dimensional harmonic variation”, Izv. Math., 70:4 (2006), 641–660  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib  scopus

   2005
34. P. L. Ulyanov, A.N. Bakhvalov, M. I. Dyachenko, K. S. Kazaryan, P. Sifuentes, Deistvitelnyi analiz v zadachakh, Fizmatlit, M., 2005 , 416 pp.

   2003
35. Bakhvalov A.N., “O ponyatii nepreryvnosti po $\Lambda$-variatsii funktsii mnogikh peremennykh”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 2003, no. 2, 47–50  mathnet  mathscinet  zmath
36. A. N. Bakhvalov, “Representing non-periodic functions of bounded $\Lambda$-variation by multi-dimensional Fourier integrals”, Izv. Math., 67:6 (2003), 1081–1100  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus

   2002
37. Bakhvalov A.N., “O povedenii $\Lambda$-variatsii funktsii dvukh peremennykh v okrestnosti regulyarnoi tochki”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 2002, no. 1, 3–10  mathnet  mathscinet  zmath 1
38. A. N. Bakhvalov, “$\lambda$-Divergence of the Fourier Series of Continuous Functions of Several Variables”, Math. Notes, 72:4 (2002), 454–465  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus
39. 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  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

   2001
40. Bakhvalov A.N., “Klassy Vatermana i treugolnye chastichnye summy dvoinykh ryadov Fure”, Analysis Math., 27:3 (2001), 3–36  crossref  mathscinet  zmath  scopus 3

   1998
41. Bakhvalov A.N., “O raskhodimosti vsyudu ryadov Fure nepreryvnykh funktsii dvukh peremennykh”, Doklady AN, 360:1 (1998), 7–9  mathnet  mathscinet  zmath
42. Bakhvalov A.N., “O predstavlenii neperiodicheskikh funktsii ogranichennoi $\Lambda$-variatsii integralom Fure”, Vestn. Mosk. Un-ta, Ser.1 Mat., Mekh., 1998, no. 3, 6–12  mathnet  mathscinet  zmath 1

   1997
43. A. N. Bakhvalov, “Divergence everywhere of the Fourier series of continuous functions of several variables”, Sb. Math., 188:8 (1997), 1153–1170  mathnet  crossref  crossref  mathscinet  zmath  isi  scopus

Presentations in Math-Net.Ru
1. Об определении обобщенной вариации функции через двумерные колебания
A. N. Bakhvalov
XXII International Saratov Winter School "Contemporary Problems of Function Theory and Their Applications", dedicated to the 300th anniversary of the Russian Academy of Sciences
January 31, 2024 15:00   

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