Distributions and the global operator of slice monogenic functions

DOI10.1007/s11785-013-0322-6zbMath1306.30019OpenAlexW1994764867MaRDI QIDQ2513296

Fabrizio Colombo, Fransiscus Sommen

Publication date: 2 February 2015

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

Full work available at URL: http://hdl.handle.net/11311/759165

zbMATH Keywords

slice monogenic functionslinear first-order systemspartial differential equation with non constant coefficients

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Systems of linear first-order PDEs (35F35)

Related Items (4)

Slice Hyperholomorphic Functional Calculi ⋮ Slice-by-slice and global smoothness of slice regular and polyanalytic functions ⋮ On the global operator and Fueter mapping theorem for slice polyanalytic functions ⋮ Algebraic approach to slice monogenic functions

Cites Work

• Pontryagin-de Branges-Rovnyak spaces of slice hyperholomorphic functions
• Schur functions and their realizations in the slice hyperholomorphic setting
• Krein-Langer factorization and related topics in the slice hyperholomorphic setting
• Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions
• The Cauchy formula with s-monogenic kernel and a functional calculus for noncommuting operators
• Slice monogenic functions
• Analysis of Dirac systems and computational algebra.
• A new functional calculus for noncommuting operators
• A nonconstant coefficients differential operator associated to slice monogenic functions
• Global differential equations for slice regular functions
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