Octonionic Kerzman-Stein operators

DOI10.1007/s11785-021-01152-0zbMath1498.30026arXiv2012.11925OpenAlexW3198306927MaRDI QIDQ2238513

Denis Constales, Rolf Sören Krausshar

Publication date: 1 November 2021

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2012.11925

zbMATH Keywords

Hardy spaceoctonionsKerzman-Stein operator

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Hardy spaces (30H10)

Related Items (1)

Cauchy formulae and Hardy spaces in discrete octonionic analysis

Cites Work

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• The Cauchy integral formulas on the octonions.
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• Regular functions on the space of Cayley numbers
• The Cauchy kernel, the Szegö kernel, and the Riemann mapping function
• Szegő projections for Hardy spaces of monogenic functions and applications
• A new algebraic technique for quaternion constrained least squares problems
• The octonionic Bergman kernel for the unit ball
• On some properties of the Hilbert transform in Euclidean space
• Funzioni regolari nell'algebra di Cayley
• The octonionic Bergman kernel for the half space
• Slice Dirac operator over octonions
• On the structure of octonion regular functions
• Unbounded normal operators in octonion Hilbert spaces and their spectra
• The octonions

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