Function theory in sectors

• Autorzy: Brian Jefferies
• Języki publikacji: EN

Abstrakty

EN

It is shown that there is a one-to-one correspondence between uniformly bounded holomorphic functions of n complex variables in sectors of ℂⁿ, and uniformly bounded functions of n+1 real variables in sectors of $ℝ^{n+1}$ that are monogenic functions in the sense of Clifford analysis. The result is applied to the construction of functional calculi for n commuting operators, including the example of differentiation operators on a Lipschitz surface in $ℝ^{n+1}$.

Kategorie tematyczne

• 46H30: Functional calculus in topological algebras
• 47A25: Spectral sets
• 30G35: Functions of hypercomplex variables and generalized variables
• 47A60: Functional calculus

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2004
• Tom: 163
• Numer: 3
• Strony: 257-287

Daty

wydano

2004

Twórcy

autor

Brian Jefferies

• School of Mathematics, The University of New South Wales, Sydney, NSW 2052, Australia

Identyfikatory

DOI

10.4064/sm163-3-4