We investigate Besov spaces and their connection with dyadic spline approximation in Lp(Cl), 0 < p < oo. Our main results are: the determination of the interpolation spaces between a pair of Besov spaces; an atomic decomposition for functions in a Besov space; the characterization of the class of functions which have certain prescribed degree of approximation by dyadic splines.

] that a novel inorganic hydride compound KHI which comprised a high binding energy hydride ion was synthesized by reaction of atomic hydrogen with potassium metal and potassium iodide. Potassium iodo hydride was identified by time of flight secondary ion mass spectroscopy, X-ray photoelectron spectroscopy, 1 H and 39 K nuclear magnetic resonance spectroscopy, Fourier transform infrared spectro...

We provide decomposition and quotienting results for multi-modal logic with respect to a composition operator, traditionally used for epistemic models, due to van Eijck et al. (Journal of Applied NonClassical Logics 21(3–4):397–425, 2011), that involves sets of atomic propositions and valuation functions from Kripke models. While the composition operator was originally defined only for epistemi...

This paper presents a framework for constructing structured, possibly compactly supported Banach frames and atomic decompositions decomposition spaces. Such space $\def\DecompSp#1#2#3#4{{\mathcal{D}({#1},L_{#4}^{#2},{#3})}}\Deco

A. Kivimaeki, Patrick Norman, M. Coreno, M. de Simone, C. Grazioli, R. Totani, B. Ressel, H. Ottosson and C. Puglia, Use of two-dimensional photoelectron spectroscopy in the decomposition of an inner-shell excitation spectrum broadened by super-Coster-Kronig decay, 2013, Physical Review A. Atomic, Molecular, and Optical Physics, (88), 6, 062502. http://dx.doi.org/10.1103/PhysRevA.88.062502 Copy...

An atomic decomposition is proved for Banach spaces which satisfy some affine geometric axioms compatible with notions from the quantum mechanical measuring process. This is then applied to yield, under appropriate assumptions, geometric characterizations, up to isometry, of the unit ball of the dual space of a JB∗-triple, and up to complete isometry, of one-sided ideals in C∗-algebras.

In the paper we obtain some martingale versions of extrapolation theorems of Yano type by employing the technique of atomic decomposition in some Orlicz martingale spaces. Some variant extrapolation inequalities are also given. Mathematics subject classification (2010): Primary 60G42; Secondary 60G46.

The effective atomic orbitals have been realized in the framework of Bader's atoms in molecules theory for a general wavefunction. This formalism can be used to retrieve from any type of calculation a proper set of orthonormalized numerical atomic orbitals, with occupation numbers that sum up to the respective Quantum Theory of Atoms in Molecules (QTAIM) atomic populations. Experience shows tha...

For a wide family of multivariate Hausdorff operators, a new stronger condition for the boundedness of an operator from this family on the real Hardy space H by means of atomic decomposition. 2000 Mathematics Subject Classification. Primary 47B38, 42B10; Secondary 46E30.