On Resurgent Series and Their Stability Under Multiplication and Moyal Star Product
Duration: 1 hour 12 mins
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| Description: |
David Sauzin CNRS (Centre national de la recherche scientifique)
18 June 2021 – 14:45 to 15:45 |
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| Created: | 2021-06-21 11:48 |
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| Collection: | Applicable resurgent asymptotics: towards a universal theory |
| Publisher: | Isaac Newton Institute for Mathematical Sciences |
| Copyright: | David Sauzin |
| Language: | eng (English) |
| Abstract: | Resurgent series are those formal series whose formal Borel transforms define endlessly continuable germs at the origin of the Borel plane (germs with locally discrete singular locus). I will review the proof of the fact that they form a subalgebra. The proof requires to follow the analytic continuation of the convolution product of endlessly continuable germs. A similar proof shows that endless continuability is also stable under Hadamard product. Then I will report on a recent result about the Moyal star product in deformation quantization: “algebro-resurgent” series (a subspace of formal series with coefficients in Cq1,...,qN ,p1,...pN , with algebraic singular locus after Borel transform) are stable under Moyal star product.
Joint work with Yong Li and Shanzong Sun |
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