Reproducing kernel spaces and analytic continuation
نویسندگان
چکیده
منابع مشابه
Some Properties of Reproducing Kernel Banach and Hilbert Spaces
This paper is devoted to the study of reproducing kernel Hilbert spaces. We focus on multipliers of reproducing kernel Banach and Hilbert spaces. In particular, we try to extend this concept and prove some related theorems. Moreover, we focus on reproducing kernels in vector-valued reproducing kernel Hilbert spaces. In particular, we extend reproducing kernels to relative reproducing kernels an...
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P (α) = C(α, F (x, y)) = αF (x, x) + 2αF (x, y) + F (x, y)F (y, y), which is ≥ 0. In the case F (x, x) = 0, the fact that P ≥ 0 implies that F (x, y) = 0. In the case F (x, y) 6= 0, P (α) is a quadratic polynomial and because P ≥ 0 it follows that the discriminant of P is ≤ 0: 4F (x, y) − 4 · F (x, x) · F (x, y)F (y, y) ≤ 0. That is, F (x, y) ≤ F (x, y)F (x, x)F (y, y), and this implies that F ...
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Article history: Received 16 May 2014 Accepted 1 August 2014 Submitted by R. Brualdi MSC: primary 46C20, 46E40 secondary 46E22, 54D35
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We consider a Stein manifold M of dimension ≥ 2 and a compact subset K ⊂ M such that M ′ = M\K is connected. Let S be a compact differential manifold, and let MS , resp. M ′ S stand for the complex manifold of maps S → M , resp. S → M , of some specified regularity that are homotopic to constant. We prove that any holomorphic function on M ′ S continues analytically to MS (perhaps as a multival...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1980
ISSN: 0035-7596
DOI: 10.1216/rmj-1980-10-1-85