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Formal Series on Cylinders and Their Radon Transform

  • Ricardo EstradaEmail author
Article
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Abstract

We define and study spaces of formal Fourier–Laplace series both in \(\mathbb {R}^{n}\) and in the cylinder \(\mathbb {S}^{n-1}\times \mathbb {R}\). We show how such spaces of formal series appear in the study of the Radon transform.

Keywords

Formal series Fourier–Laplace expansions Radon transforms 

Mathematics Subject Classification (2010)

44A12 46F10 

Notes

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Copyright information

© Vietnam Academy of Science and Technology (VAST) and Springer Nature Singapore Pte Ltd. 2019

Authors and Affiliations

  1. 1.Department of MathematicsLouisiana State UniversityBaton RougeUSA

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