A majorant problem
Let f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) such that |θk|=1, k=0,1,2,…, induces a function fθ(z)=∑k=0∞akθkzk which is still analytic in the unit disc.
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| Format: | Article |
| Language: | English |
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Wiley
1992-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171292000590 |
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| _version_ | 1832545682994495488 |
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| author | Ronen Peretz |
| author_facet | Ronen Peretz |
| author_sort | Ronen Peretz |
| collection | DOAJ |
| description | Let f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) such that |θk|=1, k=0,1,2,…, induces a function fθ(z)=∑k=0∞akθkzk which is still analytic in the unit disc. |
| format | Article |
| id | doaj-art-eb109e2740794e50999273e0ae222b01 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1992-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-eb109e2740794e50999273e0ae222b012025-02-03T07:25:04ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251992-01-0115344144710.1155/S0161171292000590A majorant problemRonen Peretz0Department of Mathematics, University of Michigan, Ann Arbor 48109, MI, USALet f(z)=∑k=0∞akzk, a0≠0 be analytic in the unit disc. Any infinite complex vector θ=(θ0,θ1,θ2,…) such that |θk|=1, k=0,1,2,…, induces a function fθ(z)=∑k=0∞akθkzk which is still analytic in the unit disc.http://dx.doi.org/10.1155/S0161171292000590Fourier coefficientsanalytic continuationSchlicht functionsfunctions of positive real part. |
| spellingShingle | Ronen Peretz A majorant problem International Journal of Mathematics and Mathematical Sciences Fourier coefficients analytic continuation Schlicht functions functions of positive real part. |
| title | A majorant problem |
| title_full | A majorant problem |
| title_fullStr | A majorant problem |
| title_full_unstemmed | A majorant problem |
| title_short | A majorant problem |
| title_sort | majorant problem |
| topic | Fourier coefficients analytic continuation Schlicht functions functions of positive real part. |
| url | http://dx.doi.org/10.1155/S0161171292000590 |
| work_keys_str_mv | AT ronenperetz amajorantproblem AT ronenperetz majorantproblem |