## Abstract In this paper we consider the problem of constructing in domains Ξ©of β^__m__+1^ with a specific geometric property, a conjugate harmonic __V__ to a given harmonic function __U__, as a direct generalization of the complex plane case. This construction is carried out in the framework of C
On Sumsets in Euclidean Space
β Scribed by A.S Fainleib
- Publisher
- Elsevier Science
- Year
- 2000
- Tongue
- English
- Weight
- 108 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0022-314X
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β¦ Synopsis
The purpose of this paper is to prove some addition theorems for measurable and lattice subsets of Euclidean space with application to an inverse additive problem.
π SIMILAR VOLUMES
## Abstract The concepts βsuper stableβ and βsuper indexβ for minimal submanifolds in a Euclidean space are introduced. These concepts coincide with the usual concepts βstableβ and βindexβ when the submanifolds have codimension one. We prove that the only complete super stable minimal submanifolds
Even lattices similar to their duals are discussed in connection with modular forms for Fricke groups. In particular, lattices of level 2 with large Hermite number are considered, and an analogy between the seven levels \(l\) such that \(1+l\) divides 24 is stressed. "t 1995 Academic Press, Inc.
## Abstract We study concepts of decidability (recursivity) for subsets of Euclidean spaces β^__k__^ within the framework of approximate computability (type two theory of effectivity). A new notion of approximate decidability is proposed and discussed in some detail. It is an effective variant of F