# Harmonic extensions of symmetric maps

## Related Articles

- Conformally symmetric manifolds and quasi conformally recurrent Riemannian manifolds. Mantica, Carlo Alberto; Young Jin Suh // Balkan Journal of Geometry & Its Applications;2011, Vol. 16 Issue 1, p66
In order to give a new proof of a theorem concerned with conformally symmetric Riemannian manifolds due to Roter and Derdzinsky [8], [9] and Miyazawa [15], we have adopted the technique used in a theorem about conformally recurrent manifolds with harmonic conformal curvature tensor in [3]. In...

- The N=4 super Landau models. Bychkov, V.; Ivanov, E. // Theoretical & Mathematical Physics;Jan2013, Vol. 174 Issue 1, p40
We briefly describe a new superextended Landau model with a worldline N =4 supersymmetry and an internal target space ISU (2|2) supersymmetry. It shares many features with the previously studied N =2 supersymmetric Landau model, which is also briefly described.

- Spherical means in annular regions in the n-dimensional real hyperbolic spaces. RAWAT, RAMA; SRIVASTAVA, R // Proceedings of the Indian Academy of Sciences: Mathematical Scie;Aug2011, Vol. 121 Issue 3, p311
Let Z be the class of all continuous functions f on the annulus Ann( r, R) in the real hyperbolic space $\mathbb B^n$ with spherical means M f( x) = 0, whenever s > 0 and $x\in\mathbb B^n$ are such that the sphere S( x) âŠ‚ Ann( r, R) and $B_r(o)\subseteq B_s(x).$ In this article, we give a...

- Book Reviews. Schaller, Paul Schmutz // Bulletin of the London Mathematical Society;1999, Vol. 31 Issue 6, p754
The article reviews the book "Groups Acting on Hyperbolic Spaces: Harmonic Analysis and Number Theory" by JÃ¼rgen Elstrodt.

- Wavelet De-noising Method Based on a New Kind of Threshold Function. Fang Liu; Qi Xie; Weige Liang; Weiyi Chen // Applied Mechanics & Materials;2014, Issue 519-520, p1057
Based on wavelet threshold de-noising method which put forward by Donoho, we analyze and compare the advantages and disadvantages of hard threshold, soft threshold and some improved threshold methods. Based on polynomial interpolation method, a new threshold function is proposed, which is...

- Nonharmonic Analysis. Sedletskii, A. M. // Journal of Mathematical Sciences;Aug2003, Vol. 116 Issue 5, p3551
Cites key findings from a survey of the state of the art of nonharmonic analysis. Key issues of interest; Analysis of pertinent topics and relevant issues; Implications on studies of mathematical sciences.

- General Lebesgue Constants for Linear Mean Subsequences of Fourier Sums. Falaleev, L. P. // Mathematical Notes;Mar/Apr2004, Vol. 75 Issue 3/4, p401
Simple sufficient conditions for the boundedness of the norms of the general matrix operators constructed from the subsequences of partial sums of trigonometric Fourier series with polynomial order of growth are obtained. They guarantee a particular rate of approximation for subclasses of...

- On exact recovery of sparse vectors from linear measurements. Konyagin, S.; Malykhin, Yu.; Ryutin, K. // Mathematical Notes;Jul2013, Vol. 94 Issue 1/2, p107
Let 1 â‰¤ k â‰¤ n < N. We say that a vector x âˆˆ â„ is k-sparse if it has at most k nonzero coordinates. Let Î¦ be an n Ã— N matrix. We consider the problem of recovery of a k-sparse vector x âˆˆ â„ from the vector y = Î¦ x âˆˆ â„. We obtain almost-sharp...

- Oracle Inequalities for EfromovichÂ–Pinsker Blockwise Estimates. Efromovich, Sam // Methodology & Computing in Applied Probability;Sep2004, Vol. 6 Issue 3, p303
Oracle inequality is a relatively new statistical tool for the analysis of nonparametric adaptive estimates. Oracle is a good pseudo-estimate that is based on both data and an underlying estimated curve. An oracle inequality shows how well an adaptive estimator mimics the oracle for a particular...