Harmonic analysis of Cp(G:F) (1 ⩽ p < 2)
نویسندگان
چکیده
منابع مشابه
M ar 1 99 6 On the space of harmonic 2 - spheres in C P 2
Carrying further work of T.A. Crawford, we show that each component of the space of harmonic maps from the 2-sphere to complex projective 2-space of degree d and energy 4πE is a smooth closed submanifold of the space of all C j maps (j ≥ 2). We achieve this by showing that the Gauss transform which relates them to spaces of holomorphic maps of given degree and ramification index is smooth and h...
متن کاملP P 1 2
In the paper, we consider the problem of computing visibility information on digital terrain models. Visibility problems on polyhedral terrains are classi ed according to the kind of visibility information computed into point visibility, line visibility and region visibility. A survey of the state-of-the-art of the algorithms for computing visibility is presented, according to the classi cation...
متن کاملX iv : m at h - ph / 0 01 20 19 v 2 1 F eb 2 00 1 Wavelet analysis as a p – adic harmonic analysis
New orthonormal basis of eigenfunctions for the Vladimirov operator of p–adic fractional derivation is constructed. The map of p–adic numbers onto real numbers (p–adic change of variable) is considered. p–Adic change of variable (for p = 2) provides an equivalence between the constructed basis of eigenfunctions of the Vladimirov operator and the wavelet basis in L 2 (R +) generated from the Haa...
متن کاملHarmonic analysis on the p-adic numbers
The ideals of the ring Zp are {0} and pZp, n ≥ 0. From this it follows that Zp is a discrete valuation ring, a principal ideal domain with exactly one maximal ideal, namely pZp; Zp is the valuation ring of Qp with the valuation vp. For n ≥ 1, Zp/pZp is isomorphic as a ring with Z/pZ. |x|p = p−vp(x), dp(x, y) = |x− y|p. With the topology induced by the metric dp, Qp is a locally compact abelian ...
متن کاملar X iv : 0 71 1 . 32 62 v 1 [ m at h . A P ] 2 1 N ov 2 00 7 HARMONIC ANALYSIS RELATED TO SCHRÖDINGER OPERATORS
In this article we give an overview on some recent development of Littlewood-Paley theory for Schrödinger operators. We extend the LittlewoodPaley theory for special potentials considered in the authors’ previous work. We elaborate our approach by considering potential in C∞ 0 or Schwartz class in one dimension. In particular the low energy estimates are treated by establishing some new and ref...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1981
ISSN: 0022-1236
DOI: 10.1016/0022-1236(81)90074-4