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# ɽWՓ198ڡ㽭WڌWg

Դ㽭ƼWԺWԺ | 2019-10-26 | l֮

һ}ĿThe tangential k-Cauchy-Fueter complexes and Hartogs phenomenon over the right quaternionic Heisenberg group

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rg20191030 15:30

ġcA4-305

ժҪWe construct the tangential k-Cauchy-Fueter complexes on the right quaternionic Heisenberg group, as the quaternionic counterpart of \bar_b-complex on the Heisenberg group in the theory of several complex variables. We can use the L2-estimate to solve the nonhomogeneous tangential k-Cauchy-Fueter equation under the compatibility condition over this group modulo a lattice. This solution has an important vanishing property when the group is higher dimensional. It allows us to prove the Hartogsextension phenomenon for k-CF functions, which are the quaternionic counterpart of CR functions.This is a joint work withYun Shi.

˺飺㽭WڣʿҪо򣻶׃ՓˇȻƌWĿ7헣Trans. Amer. Math. Soc., J. Eur. Math. Soc. (JEMS), Bull. Sci. Math., J. Math. Pures Appl., J. Math. Phys.ȇҪڿϰlՓ50ƪڵA˔WҴ45Ո档

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