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    Metabolism of amino acid amides in Pseudomonas putida ATCC 12633

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    The metabolism of the natural amino acid L-valine, the unnatural amino acids D-valine, and D-, L-phenylglycine (D-, L-PG), and the unnatural amino acid amides D-, L-phenylglycine amide (D, L-PG-NH2) and L-valine amide (L-Val-NH2) was studied in Pseudomonas putida ATCC 12633. The organism possessed constitutive L-amidase activities towards L-PG-NH2 and L-Val-NH2, both following the same pattern of expression, suggesting the involvement of similarly regulated enzymes, or a common enzyme. Quite surprisingly, growth in mineral media with L-PG-NH2 resulted in variable, long lag phases of growth and strongly reduced L-amidase activities. Conversion of D-PG-NH2 into D-PG and L-PG also occurred and could be attributed to the presence of an inducible D-amidase and the racemization of the amino acid amide in combination with L-amidase activity, respectively. The further degradation of L-PG and D-PG involved constitutive L-PG aminotransferase and inducible D-PG dehydrogenase activities, respectively, both with a high degree of enantioselectivity. Amino acid racemase activity for D- and L-PG was not detected.

    A Note on Derivations of Lie Algebras

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    In this note, we will prove that a finite dimensional Lie algebra LL of characteristic zero, admitting an abelian algebra of derivations D≤Der(L)D\leq Der(L) with the property Ln⊆∑d∈Dd(L) L^n\subseteq \sum_{d\in D}d(L) for some n≥1n\geq 1, is necessarily solvable. As a result, if LL has a derivation d:L→Ld:L\to L, such that Ln⊆d(L)L^n\subseteq d(L), for some n≥1n\geq 1, then LL is solvable.Comment: 4 page

    Riesz transform characterization of Hardy spaces associated with Schr\"odinger operators with compactly supported potentials

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    Let L=-\Delta+V be a Schr\"odinger operator on R^d, d\geq 3. We assume that V is a nonnegative, compactly supported potential that belongs to L^p(R^d), for some p>d/2. Let K_t be the semigroup generated by -L. We say that an L^1(R^d)-function f belongs to the Hardy space H_L^1 associated with L if sup_{t>0} |K_t f| belongs to L^1(R^d). We prove that f\in H_L^1 if and only if R_j f \in L^1(R^d) for j=1,...,d, where R_j= \frac{d}{dx_j} L^{-1/2} are the Riesz transforms associated with L.Comment: 6 page

    Study of Radiative Leptonic D Meson Decays

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    We study the radiative leptonic DD meson decays of D^+_{(s)}\to \l^+\nu_{\l}\gamma (\l=e,\mu,\tau), D0→ννˉγD^0\to \nu\bar{\nu}\gamma and D^0\to \l^+\l^-\gamma (l=e,μl=e,\mu) within the light front quark model. In the standard model, we find that the decay branching ratios of D(s)+→e+νeγD^+_{(s)}\to e^+\nu_e\gamma, D(s)+→μ+νμγD^+_{(s)}\to\mu^+\nu_{\mu}\gamma and D(s)+→τ+ντγD^+_{(s)}\to\tau^+\nu_{\tau}\gamma are 6.9×10−66.9\times 10^{-6} (7.7×10−57.7\times 10^{-5}), 2.5×10−52.5\times 10^{-5} (2.6×10−42.6\times 10^{-4}), and 6.0×10−66.0\times 10^{-6} (3.2×10−43.2\times 10^{-4}), and that of D^0\to\l^+\l^-\gamma (\l=e,\mu) and D0→ννˉγD^0\to\nu\bar{\nu}\gamma are 6.3×10−116.3\times 10^{-11} and 2.7×10−162.7\times 10^{-16}, respectively.Comment: 23 pages, 6 Figures, LaTex file, a reference added, to be published in Mod. Phys. Lett.
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