HENSTOCK INTEGRAL IN HARMONIC ANALYSIS

• A.Skvortsov Valentin

  Moscow State University

Abstract

The feasibility of Henstock approach to integration theory is demonstrated by application of Henstock-type integrals with respect to different derivation bases to the problem of recovering the coefficients of orthogonal series by generalized Fourier formulae.

Journal

• Scientiae Mathematicae Japonicae

  Scientiae Mathematicae Japonicae 67 (1), 71-82, 2008

  International Society for Mathematical Sciences

Keywords

• Henstock integral
• division space
• derivation basis
• variational measure
• Fourier series
• trigonometric series
• Haar series
• Walsh series
• system of characters of a compact group

Details

• CRID: 1390565134833716736
• NII Article ID: 10021089188
• NII Book ID: AA1150654X
• DOI: 10.32219/isms.67.1_71
• ISSN: 13460447
• Text Lang: en
• Data Source:
  • JaLC
  • CiNii Articles
• Abstract License Flag: Disallowed