Nonlocalizability and asymptotical commutativity

The mathematical formalism commonly used in treating nonlocal highly singular interactions is revised. The notion of a support cone is introduced, which replaces that of support for nonlocalizable distributions. Such support cones are proven to exist for distributions defined on the Gelfand-Shilov spaces S, where 0<<1. This result leads to a refinement of previous generalizations of the local commutativity condition to nonlocal quantum fields. For string propagators, a new derivation of a representation similar to that of Källen-Lehmann is proposed. It is applicable to any initial and final string configurations and manifests exponential growth of spectral densities intrinsic in nonlocalizable theories.In memory of Michael Polivanov, the remarkable personality and scientistDepartment of Theoretical Physics, P. N. Lebedev Physical Institute. E-mail: theordep@sci.fian.msk.su. Published in Teoreticheskaya i Matematicheskaya Fizika, Vol. 93, No. 3, pp. 514–528, December, 1992.     

Fluorescence lifetime tomography of live cells expressing enhanced green fluorescent protein embedded in a scattering medium exhibiting background autofluorescence

We present a novel fluorescence lifetime tomography system applied to a highly scattering autofluorescent phantom containing live cells expressing the fluorophore enhanced green fluorescent protein (EGFP). The fluorescence signal was excited using a fiber-laser-pumped supercontinuum source and detected using wide-field time gating imaging. To facilitate rapid 3D reconstruction of the fluorescence lifetime distribution, the time-resolved data were Fourier-transformed in time to give complex functions that formed a data set for the Fourier domain reconstruction. Initially the presence of an unspecified background autofluorescence signal impeded reconstruction of the lifetime distribution, but we show that this problem can be addressed using a simple iterative technique.     

Interpolation with gradient in the ball and polydisk

We consider an interpolation problem with gradient for the Banach algebras of bounded holomorphic functions in the ball and polydisk. Sufficient conditions for the solvability of this problem are obtained. Translated fromMatematicheskie Zametki, Vol. 66, No. 3, pp. 407–416, September, 1999.     

Erratum to: Small-Angle Neutron Scattering at the Pulsed Reactor IBR-2: Current Status and Prospects

Crystallography Reports - An Erratum to this paper has been published: https://doi.org/10.1134/S1063774522070513     

Effect of the Composition of Silver Doped M-Si Oxide Systems (M: Mg,Zr, La) on their Catalytic Properties in the Conversion of Ethanol to 1,3-Butadiene

Theoretical and Experimental Chemistry - The effect of the acid–base characteristics of M-Si oxide systems (M: Mg, Zr, La), including those doped with silver, on their catalytic properties...     

Electrophysical and Photo-Electrocatalytic Properties of MoS2 Nanofilms

Physics of Atomic Nuclei - MoS2 nanofilms were created by thermochemical processing (sulfurization) of thin-film Мо and МоОу precursors in S vapor. The precursor...     

Effect of the Composition of Ethanol–Water Mixtures on the Properties of Oxide (Zn-Zr-Si) and Zeolitic (Ta/SiBEA) Catalysts in the Production of 1,3-Butadiene

Theoretical and Experimental Chemistry - The reasons for the deactivating effect of water on the conversion of ethanol to 1,3-butadiene in the presence of Zn-Zr(La)-Si oxide and Cu(Ag, Zn)/Ta/SiBEA...     

Measurement of neutral-meson masses in meson-nucleus interactions at a momentum of 7 GeV/c at the Hyperon-M setup

The π ⁰, η, K ⁰, ω, and f ₂(1270) masses were measured at the HYPERON-Msetup in meson-nucleus interactions at a momentum of 7 GeV/c by using six nuclear targets: Be, C, Al, Cu, Sn, and Pb. The experiment in question proved to be insensitive to the expected effects of a modification to the omega-meson mass in nuclear matter. As for the f ₂(1270) meson, its mass and width values averaged over all experimental data, $m_{f_2 }$ = 1275.8 ± 1.0(stat.) ± 0.4(syst.) MeV/c ² and $\Gamma _{f_2 }$ = 190.3 ± 1.9(stat.) ± 1.8(syst.) MeV/c ², agree well with the world-average values. At the same time, our experimental data do not rule out the possible effect of an in-medium modification to the f ₂(1270)-meson mass for heavy nuclei at a level better than 0.4%.     

Influence of Acid–Base Characteristics of Hierarchical Cu/Zr-MTW Zeolites on their Catalytic Properties in 1,3-Butadiene Production from Ethanol–Water Mixtures

Theoretical and Experimental Chemistry - The nature of mineralizing agent (HF, NH4F) and the Si/F ratio in the synthesis conditions is found to affect the formation of Zr- and Cu-containing acid...