Singular integral operators on $C^ 1$ manifolds
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- by Jeff E. Lewis, Renata Selvaggi and Irene Sisto PDF
- Trans. Amer. Math. Soc. 340 (1993), 293-308 Request permission
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
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 340 (1993), 293-308
- MSC: Primary 58G15; Secondary 42B20, 47G10
- DOI: https://doi.org/10.1090/S0002-9947-1993-1124170-6
- MathSciNet review: 1124170