The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform

Kisil, VV (2014) The Real and Complex Techniques in Harmonic Analysis from the Point of View of Covariant Transform. Eurasian Mathematical Journal, 5 (1). pp. 95-121. ISSN 2077-9879

Abstract

Metadata

Authors/Creators:
  • Kisil, VV
Keywords: wavelet, coherent state, covariant transform, reconstruction formula, the affine group, ax + b-group, square integrable representations, admissible vectors, Hardy space, fiducial operator, approximation of the identity, atom, nucleus, atomic decomposition, Cauchy integral, Poisson integral, Hardy–Littlewood maximal function, grand maximal function, vertical maximal function, non-tangential maximal function, intertwining operator, Cauchy-Riemann operator, Laplace operator, singular integral operator (SIO), Hilbert transform, boundary behaviour, Carleson measure, Littlewood– Paley theory
Dates:
  • Published: 30 January 2014
Institution: The University of Leeds
Academic Units: The University of Leeds > Faculty of Maths and Physical Sciences (Leeds) > School of Mathematics (Leeds) > Pure Mathematics (Leeds)
Depositing User: Symplectic Publications
Date Deposited: 19 Apr 2016 14:20
Last Modified: 08 May 2016 08:34
Published Version: http://emj.enu.kz/images/pdf/2014/5-1-4.pdf
Status: Published
Publisher: Eurasian National University, Kazakhstan
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