Coordinated observations of the galactic center region using the imaging SIGMA instrument and the high-sensitivity OSSE instrument were performed to separate the compact source contributions from the diiuse component. The resulting compact-source corrected spectrum of the galactic center region is found to be similar in both intensity and spectral index to the spectra obtained from OSSE observa...

Compact (ferroand antiferromagnetic) sigma-models and noncompact (hyperbolic) sigma-models are compared in a lattice formulation in dimensions d ≥ 2. While the ferroand antiferromagnetic models are essentially equivalent, the qualitative difference to the noncompact models is highlighted. The perturbative and the large N expansions are studied in both types of models and are argued to be asympt...

Coordinated observations of the galactic center region using the imaging SIGMA instrument and the high-sensitivity OSSE instrument were performed to separate the compact source contributions from the di use component. The resulting compact-source corrected spectrum of the galactic center region is found to be similar in both intensity and spectral index to the spectra obtained from OSSE observa...

We introduce a classification of locally compact Hausdorff topological spaces with respect to the behavior $$ \sigma -compact subsets and, relying on this classification, we study properties corresponding $$C^*$$ -algebras in terms frame theory and {\mathscr A} operators Hilbert -modules; some pathological examples are constructed.

Introduction: Bacteria have at least one sigma factor (σ-factor) that transcribes the genes required for cell viability. Usually, transcription of σ-factors occurs and changes in response to a variety of environmental stresses. Expression of σ-factors is one of the strategies which is used in response to different stress conditions. This study was aimed to evaluate the effects...

Duality symmetries are discussed for non-linear gauge theories of (n − 1)-th rank antisymmetric tensor fields in general even dimensions d = 2n. When there are M field strengths and no scalar fields, the duality symmetry groups should be compact. We find conditions on the Lagrangian required by compact duality symmetries and show an example of duality invariant non-linear theories. We also disc...

We study some qualitative properties (including removable singularities and superharmonicity) of non-negative solutions to $$ (-\Delta)^\gamma u=fu^p\quad\text{in }\mathbb R^n\setminus\Sigma which are singular at $\Sigma$. Here $\gamma \in (0, \frac{n}{2})$. Among other things, we first prove that if $\Sigma$ is a compact set in $\mathbb R^n$ with Assouad dimension $\bf d$ (not necessarily an i...