Recent developments in the theory of Walsh series
We survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of Walsh series.
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| Format: | Article |
| Language: | English |
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Wiley
1982-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171282000611 |
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| _version_ | 1832545708530466816 |
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| author | William R. Wade |
| author_facet | William R. Wade |
| author_sort | William R. Wade |
| collection | DOAJ |
| description | We survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of Walsh series. |
| format | Article |
| id | doaj-art-4b7a91b32f7b4d67bf6233b926c7baae |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1982-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4b7a91b32f7b4d67bf6233b926c7baae2025-02-03T07:24:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251982-01-015462567310.1155/S0161171282000611Recent developments in the theory of Walsh seriesWilliam R. Wade0Department of Mathematics, University of Tennessee, Knoxville 37916, Tennessee, USAWe survey research done on the theory of Walsh series during the decade 1971-1981. Particular attention is given to convergence of Walsh-Fourier series, gap Walsh series, growth of Walsh-Fourier coefficients, dyadic differentiation, and uniqueness of Walsh series.http://dx.doi.org/10.1155/S0161171282000611Walsh-Paley systemdyadic groupmaximal functionsdyadic Hp spaceBMOVilenkin groupsweak type ({p,p})dyadic differentiation. |
| spellingShingle | William R. Wade Recent developments in the theory of Walsh series International Journal of Mathematics and Mathematical Sciences Walsh-Paley system dyadic group maximal functions dyadic Hp space BMO Vilenkin groups weak type ({p,p}) dyadic differentiation. |
| title | Recent developments in the theory of Walsh series |
| title_full | Recent developments in the theory of Walsh series |
| title_fullStr | Recent developments in the theory of Walsh series |
| title_full_unstemmed | Recent developments in the theory of Walsh series |
| title_short | Recent developments in the theory of Walsh series |
| title_sort | recent developments in the theory of walsh series |
| topic | Walsh-Paley system dyadic group maximal functions dyadic Hp space BMO Vilenkin groups weak type ({p,p}) dyadic differentiation. |
| url | http://dx.doi.org/10.1155/S0161171282000611 |
| work_keys_str_mv | AT williamrwade recentdevelopmentsinthetheoryofwalshseries |