Special power series expansions of monogenic functions around surfaces of codimension two | Zendy

Peña Peña Dixan | Zendy; Sommen Frank | Zendy

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Special power series expansions of monogenic functions around surfaces of codimension two

Author(s) -

Peña Peña Dixan,

Sommen Frank

Publication year - 2009

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.1056

Subject(s) - codimension , mathematics , power series , series (stratigraphy) , cauchy distribution , extension (predicate logic) , pure mathematics , spheres , mathematical analysis , paleontology , physics , astronomy , computer science , biology , programming language

In this paper we will focus on power series expansions around special surfaces of codimension two, in particular around spheres and products of spheres. This will include a version of the Cauchy–Kowalewski extension theorem around these surfaces. This higher codimension result was only obtained so far in the flat case (see Partial Differential Equations with Complex Analysis . Pitman Research Notes Mathematical Series, vol. 262. Longman Science and Technology: Harlow, 1992; 61–92; Mathematics and its Applications , vol. 53. Kluwer Academic Publishers Group: Dordrecht, 1992). Copyright © 2008 John Wiley & Sons, Ltd.

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