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• W2067495225 abstract "The usual higher Hilbert-Riesz transforms are principal value convolution transforms with kernels Yj(x)¦x¦−j−n, where Yj, is a homogeneous harmonic polynomial of degree j. With the help of the algebra attached to the Laplace operator, we write the kernels in a vectorial form, and consider more generally the kernel xj¦x¦−j+λ−n, where for Re λ < 0, the expression is defined as a distribution by analytic continuation. We find explicit formulas for the analytic continuation, conditions under which two such kernels can be convolved, and formulas for the convolution." @default.
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• W2067495225 date "1987-05-01" @default.
• W2067495225 modified "2023-09-25" @default.
• W2067495225 title "Analytic continuation and convolution of hypersingular higher Hilbert-Riesz kernels" @default.
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• W2067495225 doi "https://doi.org/10.1016/0022-247x(87)90321-0" @default.
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