Extension sets for real analytic functions and applications to Radon transforms
The real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to an entire function for θ∈E and f(x,y) is real a...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1996-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171296000889 |
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| _version_ | 1832566229490991104 |
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| author | Vernor Arguedas Ricardo Estrada |
| author_facet | Vernor Arguedas Ricardo Estrada |
| author_sort | Vernor Arguedas |
| collection | DOAJ |
| description | The real analytic character of a function f(x,y) is determined from its behavior along
radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for
Radon transforms in the plane is proved. In particular if fθ extends to an entire function for θ∈E and
f(x,y) is real analytic in ℝ2 then it also extends to an entire function in ℂ2. |
| format | Article |
| id | doaj-art-af911ad7db434c7eb877d9b78b5bba74 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1996-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-af911ad7db434c7eb877d9b78b5bba742025-02-03T01:04:52ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251996-01-0119462563210.1155/S0161171296000889Extension sets for real analytic functions and applications to Radon transformsVernor Arguedas0Ricardo Estrada1Escuela de Matemática, Universidad de Costa Rica, San José, Costa RicaEscuela de Matemática, Universidad de Costa Rica, San José, Costa RicaThe real analytic character of a function f(x,y) is determined from its behavior along radial directions fθ(s)=f(scosθ,ssinθ) for θ∈E, where E is a small set. A support theorem for Radon transforms in the plane is proved. In particular if fθ extends to an entire function for θ∈E and f(x,y) is real analytic in ℝ2 then it also extends to an entire function in ℂ2.http://dx.doi.org/10.1155/S0161171296000889Real-analytic functionsreal analytic functions of exponential type Radon transform. |
| spellingShingle | Vernor Arguedas Ricardo Estrada Extension sets for real analytic functions and applications to Radon transforms International Journal of Mathematics and Mathematical Sciences Real-analytic functions real analytic functions of exponential type Radon transform. |
| title | Extension sets for real analytic functions and applications to Radon transforms |
| title_full | Extension sets for real analytic functions and applications to Radon transforms |
| title_fullStr | Extension sets for real analytic functions and applications to Radon transforms |
| title_full_unstemmed | Extension sets for real analytic functions and applications to Radon transforms |
| title_short | Extension sets for real analytic functions and applications to Radon transforms |
| title_sort | extension sets for real analytic functions and applications to radon transforms |
| topic | Real-analytic functions real analytic functions of exponential type Radon transform. |
| url | http://dx.doi.org/10.1155/S0161171296000889 |
| work_keys_str_mv | AT vernorarguedas extensionsetsforrealanalyticfunctionsandapplicationstoradontransforms AT ricardoestrada extensionsetsforrealanalyticfunctionsandapplicationstoradontransforms |