Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3
We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth.
Gespeichert in:
| Autor*in: |
Kumar, Devendra [verfasserIn] |
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| Format: |
E-Artikel |
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| Erschienen: |
Walter de Gruyter GmbH & Co. KG ; 2010 |
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| Schlagwörter: |
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| Anmerkung: |
© Heldermann Verlag |
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| Umfang: |
12 |
| Reproduktion: |
Walter de Gruyter Online Zeitschriften |
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| Übergeordnetes Werk: |
In: 1072-9176 - 15(2010), 1 vom: 10. März, Seite 99-110 |
| Übergeordnetes Werk: |
In: 15(2010), 1 vom: 10. März, Seite 99-110 volume:15 ; year:2010 ; number:1 ; day:10 ; month:03 ; pages:99-110 ; extent:12 |
| Links: |
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| DOI / URN: |
10.1515/GMJ.2008.99 |
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| 520 | |a We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with ( , )-growth. | ||
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| 650 | 4 | |a entire harmonic functions | |
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| 650 | 4 | |a index-pair | |
| 650 | 4 | |a approximation error | |
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10.1515/GMJ.2008.99 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891459 DE-627 ger DE-627 rakwb Kumar, Devendra verfasserin aut Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Walter de Gruyter GmbH & Co. KG 2010 12 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. Walter de Gruyter Online Zeitschriften Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error In 15(2010), 1 vom: 10. März, Seite 99-110 1072-9176 volume:15 year:2010 number:1 day:10 month:03 pages:99-110 extent:12 https://doi.org/10.1515/GMJ.2008.99 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 15 2010 1 10 03 99-110 12 |
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10.1515/GMJ.2008.99 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891459 DE-627 ger DE-627 rakwb Kumar, Devendra verfasserin aut Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Walter de Gruyter GmbH & Co. KG 2010 12 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. Walter de Gruyter Online Zeitschriften Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error In 15(2010), 1 vom: 10. März, Seite 99-110 1072-9176 volume:15 year:2010 number:1 day:10 month:03 pages:99-110 extent:12 https://doi.org/10.1515/GMJ.2008.99 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 15 2010 1 10 03 99-110 12 |
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10.1515/GMJ.2008.99 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891459 DE-627 ger DE-627 rakwb Kumar, Devendra verfasserin aut Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Walter de Gruyter GmbH & Co. KG 2010 12 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. Walter de Gruyter Online Zeitschriften Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error In 15(2010), 1 vom: 10. März, Seite 99-110 1072-9176 volume:15 year:2010 number:1 day:10 month:03 pages:99-110 extent:12 https://doi.org/10.1515/GMJ.2008.99 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 15 2010 1 10 03 99-110 12 |
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10.1515/GMJ.2008.99 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891459 DE-627 ger DE-627 rakwb Kumar, Devendra verfasserin aut Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Walter de Gruyter GmbH & Co. KG 2010 12 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. Walter de Gruyter Online Zeitschriften Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error In 15(2010), 1 vom: 10. März, Seite 99-110 1072-9176 volume:15 year:2010 number:1 day:10 month:03 pages:99-110 extent:12 https://doi.org/10.1515/GMJ.2008.99 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 15 2010 1 10 03 99-110 12 |
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10.1515/GMJ.2008.99 doi artikel_Grundlieferung.pp (DE-627)NLEJ246891459 DE-627 ger DE-627 rakwb Kumar, Devendra verfasserin aut Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Walter de Gruyter GmbH & Co. KG 2010 12 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier © Heldermann Verlag We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. Walter de Gruyter Online Zeitschriften Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error In 15(2010), 1 vom: 10. März, Seite 99-110 1072-9176 volume:15 year:2010 number:1 day:10 month:03 pages:99-110 extent:12 https://doi.org/10.1515/GMJ.2008.99 Deutschlandweit zugänglich GBV_USEFLAG_U ZDB-1-DGR GBV_NL_ARTICLE AR 15 2010 1 10 03 99-110 12 |
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Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 Spherical harmonics homogeneous harmonic polynomials entire harmonic functions proximate order index-pair approximation error |
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growth and approximation of entire harmonic functions in 𝑅𝑛, 𝑛 > 3 |
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Growth and Approximation of Entire Harmonic Functions in 𝑅𝑛, 𝑛 > 3 |
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We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. © Heldermann Verlag |
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We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. © Heldermann Verlag |
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We study the growth of functions which are harmonic in any number of variables. The results are expressed in terms of spherical harmonic coefficients as well as by the approximation error of the harmonic function with (𝑝, 𝑞)-growth. © Heldermann Verlag |
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