View More View Less
  • 1 МОСКОВ СКИЙ ГОСУДАРСТВЕННЫ Й УНИВЕРСИТЕТ ИМЕНИ М. В. ЛОМОНОСОВА МЕХАНИК О-МАТЕМАТИЧЕСКИЙ ФАК УЛЬТЕТ 117234 МОСКВА СССР 117234 МОСКВА СССР
Restricted access

Abstract  

Fourier serieses with respect to Vilenkin multiplicative systems are studied. It is proved that a Dini-Lipschitz condition imposed on the group or group integral modulus of continuity is sufficient for the convergence of the series in the normC() orL(), respectively. Necessity in the classesHω andHω1 of that condition is also proved. A boundedness criterion of the sequence of partial sums inHω andHω1 is also obtained.

  • Impact Factor (2019): 0.527
  • Scimago Journal Rank (2019): 0.384
  • SJR Hirsch-Index (2019): 15
  • SJR Quartile Score (2019): Q3 Analysis
  • SJR Quartile Score (2019): Q3 Mathematics (miscellaneous)
  • Impact Factor (2018): 0.702
  • Scimago Journal Rank (2018): 0.47
  • SJR Hirsch-Index (2018): 14
  • SJR Quartile Score (2018): Q2 Mathematics (miscellaneous)

For subscription options, please visit the website of Springer.

Analysis Mathematica
Language English
Size B5
Year of
Foundation
1975
Volumes
per Year
1
Issues
per Year
4
Founder Akadémiai Kiadó
Founder's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address
H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher
Chief Executive Officer, Akadémiai Kiadó
ISSN 0133-3852 (Print)
ISSN 1588-273X (Online)