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Riesz–Jacobi Transforms as Principal Value Integrals

Riesz–Jacobi Transforms as Principal Value Integrals

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_swepub_primary_oai_DiVA_org_uu_298069

Riesz–Jacobi Transforms as Principal Value Integrals

About this item

Full title

Riesz–Jacobi Transforms as Principal Value Integrals

Publisher

New York: Springer US

Journal title

The Journal of fourier analysis and applications, 2016-06, Vol.22 (3), p.493-541

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

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...

Alternative Titles

Full title

Riesz–Jacobi Transforms as Principal Value Integrals

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_swepub_primary_oai_DiVA_org_uu_298069

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_swepub_primary_oai_DiVA_org_uu_298069

Other Identifiers

ISSN

1069-5869,1531-5851

E-ISSN

1531-5851

DOI

10.1007/s00041-015-9430-1

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