Quasi-Banach modulation spaces and localization operators on locally compact abelian groups

We introduce new quasi-Banach modulation spaces on locally compact abelian (LCA) groups which coincide with the classical ones in the Banach setting and prove their main properties. Then we study Gabor frames on quasi-lattices, significantly extending the original theory introduced by Gr\"{o}chenig and Strohmer. These issues are the key tools in showing boundedness results for Kohn-Nirenberg and localization operators on modulation spaces and studying their eigenfunctions' properties. In particular, the results in the Euclidean space are recaptured

Decay and Smoothness for Eigenfunctions of Localization Operators

We study decay and smoothness properties for eigenfunctions of compact localization operators. Operators with symbols a in the wide modulation space M^{p,\infty} (containing the Lebesgue space L^p), p<\infty, and windows \f_1,\f_2 in the Schwartz class are known to be compact. We show that their L^2-eigenfuctions with non-zero eigenvalues are indeed highly compressed onto a few Gabor atoms. Similarly, for symbols a in the weighted modulation spaces M^{\infty}_{v_s\otimes 1} (\rdd), s>0 (subspaces of M^{p,\infty}(\rdd), p>2d/s) the L^2-eigenfunctions of the localization operator are actually Schwartz functions. An important role is played by quasi-Banach Wiener amalgam and modulation spaces. As a tool, new convolution relations for modulation spaces and multiplication relations for Wiener amalgam spaces in the quasi-Banach setting are exhibited.Comment: To appear on J. Math. Anal. App

The Degree of a Tropical Root Surface of Type AA

We prove that the tropical surface of the root system $A_{n-1}$ has degree $\frac{1}{2}n (n-1)(n-2)$.Comment: 9 pages, 1 figur

MASCOT ON-BOARD COMPUTER BASED ON SPACEWIRE LINKS

The general concept of the “Mobile Asteroid Surface Scout” (MASCOT) is to provide a small landing system intended to be deployed from a supporting main spacecraft. It is specifically designed to be compatible with JAXA’s Hayabusa 2 (HY2, scheduled for launch in 2014) mission design and the environment given by the target asteroid 1999JU3. The design foresees an OBC for gathering, processing, compressing and storing of the scientific payload and the housekeeping data and to run system and subsystem tasks

Modifications of Bordetella bronchiseptica core lipopolysaccharide influence immune response without affecting protective activity

Bordetella bronchiseptica produces respiratory disease primarily in mammals including humans. Although a considerably amount of research has been generated regarding lipopolysaccharide (LPS) role during infection and stimulating innate and adaptive immune response, mechanisms involved in LPS synthesis are still unknown. In this context we searched in B. bronchiseptica genome for putative glycosyltransferases. We found possible genes codifying for enzymes involved in sugar substitution of the LPS structure. We decided to analyse BB3394 to BB3400 genes, closed to a previously described LPS biosynthetic locus in B. pertussis. Particularly, conservation of BB3394 in sequenced B. bronchiseptica genomes suggests the importance of this gene for bacteria normal physiology. Deletion of BB3394 abolished resistance to naive serum as described for other LPS mutants. When purified LPS was analyzed, differences in the LPS core structure were found. Particularly, a GalNA branched sugar substitution in the core was absent in the LPS obtained from BB3394 deletion mutant. Absence of GalNA in core LPS alters immune response in vivo but is able to induce protective response against B. bronchiseptica infection.Facultad de Ciencias Exacta

Modifications of Bordetella bronchiseptica core lipopolysaccharide influence immune response without affecting protective activity

Bordetella bronchiseptica produces respiratory disease primarily in mammals including humans. Although a considerably amount of research has been generated regarding lipopolysaccharide (LPS) role during infection and stimulating innate and adaptive immune response, mechanisms involved in LPS synthesis are still unknown. In this context we searched in B. bronchiseptica genome for putative glycosyltransferases. We found possible genes codifying for enzymes involved in sugar substitution of the LPS structure. We decided to analyse BB3394 to BB3400 genes, closed to a previously described LPS biosynthetic locus in B. pertussis. Particularly, conservation of BB3394 in sequenced B. bronchiseptica genomes suggests the importance of this gene for bacteria normal physiology. Deletion of BB3394 abolished resistance to naive serum as described for other LPS mutants. When purified LPS was analyzed, differences in the LPS core structure were found. Particularly, a GalNA branched sugar substitution in the core was absent in the LPS obtained from BB3394 deletion mutant. Absence of GalNA in core LPS alters immune response in vivo but is able to induce protective response against B. bronchiseptica infection.Facultad de Ciencias Exacta