Journal article
The Wedge-of-the-edge Theorem: Edge-of-the-wedge Type Phenomenon Within the Common Real Boundary
Canadian mathematical bulletin, v 62(2), pp 417-427
Jun 2019
Abstract
The edge-of-the-wedge theorem in several complex variables gives the analytic continuation of functions defined on the poly upper half plane and the poly lower half plane, the set of points in
$\mathbb{C}^{n}$
with all coordinates in the upper and lower half planes respectively, through a set in real space,
$\mathbb{R}^{n}$
. The geometry of the set in the real space can force the function to analytically continue within the boundary itself, which is qualified in our wedge-of-the-edge theorem. For example, if a function extends to the union of two cubes in
$\mathbb{R}^{n}$
that are positively oriented with some small overlap, the functions must analytically continue to a neighborhood of that overlap of a fixed size not depending of the size of the overlap.
Metrics
Details
- Title
- The Wedge-of-the-edge Theorem: Edge-of-the-wedge Type Phenomenon Within the Common Real Boundary
- Creators
- J. E. Pascoe - University of Florida
- Publication Details
- Canadian mathematical bulletin, v 62(2), pp 417-427
- Publisher
- Canadian Mathematical Society
- Number of pages
- 11
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000468457300018
- Scopus ID
- 2-s2.0-85066143630
- Other Identifier
- 991021879629104721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics