Riesz–Jacobi Transforms as Principal Value Integrals
Riesz–Jacobi Transforms as Principal Value Integrals
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New York: Springer US
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English
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New York: Springer US
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We establish an integral representation for the Riesz transforms naturally associated with classical Jacobi expansions. We prove that the Riesz–Jacobi transforms of odd orders express as principal value integrals against kernels having non-integrable singularities on the diagonal. On the other hand, we show that the Riesz–Jacobi transforms of even...
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Riesz–Jacobi Transforms as Principal Value Integrals
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TN_cdi_swepub_primary_oai_DiVA_org_uu_298069
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_swepub_primary_oai_DiVA_org_uu_298069
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ISSN
1069-5869,1531-5851
E-ISSN
1531-5851
DOI
10.1007/s00041-015-9430-1