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Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere

Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2811673147

Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere

About this item

Full title

Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere

Publisher

New York: Springer US

Journal title

The Journal of fourier analysis and applications, 2023-06, Vol.29 (3), Article 28

Language

English

Formats

Publication information

Publisher

New York: Springer US

More information

Scope and Contents

Contents

We present a method of solving partial differential equations on the
n
-dimensional unit sphere using methods based on the continuous wavelet transform derived from approximate identities. We give an explicit analytical solution to the Poisson equation and to the Helmholtz equations. For the first one and for some special values of the parame...

Alternative Titles

Full title

Wavelet Based Solutions to the Poisson and the Helmholtz Equations on the n-Dimensional Unit Sphere

Authors, Artists and Contributors

Identifiers

Primary Identifiers

Record Identifier

TN_cdi_proquest_journals_2811673147

Permalink

https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_proquest_journals_2811673147

Other Identifiers

ISSN

1069-5869

E-ISSN

1531-5851

DOI

10.1007/s00041-023-10008-4

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