Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Singular integral operators on $ C\sp 1$ manifolds


Authors: Jeff E. Lewis, Renata Selvaggi and Irene Sisto
Journal: Trans. Amer. Math. Soc. 340 (1993), 293-308
MSC: Primary 58G15; Secondary 42B20, 47G10
MathSciNet review: 1124170
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We show that the kernel of a singular integral operator is real analytic in $ {{\mathbf{R}}^n}\backslash \{ 0\} $ iff the symbol [Fourier transform] is real analytic in $ {{\mathbf{R}}^n}\backslash \{ 0\} $. The singular integral operators with continuous coefficients and real analytic kernels (symbols) form an operator algebra with the usual symbolic calculus. The symbol is invariantly defined under $ {C^1}$ changes of coordinates.


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 58G15, 42B20, 47G10

Retrieve articles in all journals with MSC: 58G15, 42B20, 47G10


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1993-1124170-6
PII: S 0002-9947(1993)1124170-6
Keywords: Layer potentials, nonsmooth domains, pseudodifferential operators, singular integrals, symbolic calculus
Article copyright: © Copyright 1993 American Mathematical Society