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61.
62.
Michael Pevzner 《Letters in Mathematical Physics》2018,108(12):2627-2633
We give a closed formula for the Rankin–Cohen formal covariant quantization in terms of generating functions of Jacobi polynomials. 相似文献
63.
Motion of a charged particle in the field of a grounded conductive sphere is investigated. It is assumed that the field created
by the sphere is quasi-static that implies limitation on particle velocities by nonrelativistic values and the possibility
of neglecting magnetic interaction and heat losses. A classification is provided and possible particle trajectories are constructed
in the examined case. 相似文献
64.
L. M. Pevzner 《Russian Journal of General Chemistry》2013,83(9):1687-1697
Alkyl cyanofurylmethanephosphonates are formylated with ethyl formate in the presence of sodium foil to form sodium derivatives of phosphonoacetic aldehyde. If phosphonoacetic aldehyde and nitrile groups occupy remote positions in the furan ring, the sodium derivative in DMSO solution exists in the form of carbanion carrying charge on the carbon atom adjacent to the aldehyde group. If the substituents are located at the adjacent carbons of furan ring, the solution equilibrium between the carbanionic (major product) and Z-enolate forms of salts is established. Alkylation of the formed salts with methyl iodide occurs exclusively at the oxygen atom to give methyl enolates. In most cases, a mixture of E-and Z-isomers is formed, the E one being prevailing. In the case of 2,5-location of the substituents in furan ring, the sodium salt is inactive, and the alkylation does not occur. 相似文献
65.
Based on reactions of phosphorylated derivatives of halomethylfuroic acid esters with thioglycolic acid ester in the presence of bases, a method for the synthesis of mono-and bisphosphosphorylated esters of (2-ethoxy-2-oxoethylthio)methyl derivatives of furoic acids, containing an ester group in the position adjacent to the sulfide moiety was developed. Obtained compounds are relatively easily metallized with potassium tert-butylate, but intramolecular cyclization proceeds smoothly only in the case of 5-(diethoxyphosphorylmethyl)-2-(ethoxycarbonylmethylthiomethyl)furan-3-carboxylic acid. The resulting 1,3-dicarbonyl derivative of 7H-thiopyrano[3,4-b]furan is hydrolytically unstable, but its enol O-methyl ether is stabile. Alkaline hydrolysis of the latter compound was studied, and it was shown that it proceeds at the ester as well as at the phosphonate group. 相似文献
66.
In the paper, the (2, 3)-generation of GL(S, ℤ) is investigated. We reduce the problem to five specific pairs of matrices. Bibliography: 4 titles.__________Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 305, 2003, pp. 153–162. 相似文献
67.
Methyl 5-acetyl-2-furoate has been prepared via oxidation of 5-(1-hydroxyethyl)-2-furoate with the Jones reagent. In turn, the starting compound has been synthesized via sequential chloroethylation of ethyl 2-furoate, substitution of chlorine with acetoxy group, and methanolysis of the acetate in presence of sodium methylate. The vinylog 2-furoate has been obtained as the major product via acetylation of ethyl 3-(2-furyl)-acrylate with acetic anhydride in the presence of magnesium perchlorate.
相似文献68.
We prove a one-to-one correspondence between differential symmetry breaking operators for equivariant vector bundles over two homogeneous spaces and certain homomorphisms for representations of two Lie algebras, in connection with branching problems of the restriction of representations. We develop a new method (F-method) based on the algebraic Fourier transform for generalized Verma modules, which characterizes differential symmetry breaking operators by means of certain systems of partial differential equations. In contrast to the setting of real flag varieties, continuous symmetry breaking operators of Hermitian symmetric spaces are proved to be differential operators in the holomorphic setting. In this case, symmetry breaking operators are characterized by differential equations of second order via the F-method. 相似文献
69.
L. M. Pevzner 《Russian Journal of General Chemistry》2011,81(8):1620-1628
Diethoxyphosphorylmethyl derivatives of furancarboxylic acids react with thionyl chloride in the presence of DMF to form the
corresponding acid chlorides. Compounds synthesized were reduced with sodium borohydride in the DMF-dioxane medium to give
hydroxymethyl compounds. Obtained phosphorylated alcohols were oxidized to aldehydes by chromium trioxide-pyridine complex
in methylene chloride. The diethoxyphosphorylmethyl group remains untouched in all these transformations. A series of phosphorylated
acid chlorides, alcohols, and aldehydes including all six versions of mutual location of phosphorus-containing substituent
and another functional group in the furan ring was synthesized. It is established that 2,3- and 3,2-(diethoxyphosphorylmethyl)(chlorocarbonyl)furans
in the course of vacuum distillation undergo cyclization to 4,5(2,3-furo)- and 4,5(3,2-furo)-1,2-oxaphosphorines. 相似文献
70.
Remizov Yu. O. Pevzner L. M. Petrov M. L. 《Russian Journal of General Chemistry》2019,89(10):2147-2150
Russian Journal of General Chemistry - The reactions of 5-methyl-4-(1,2,3-thiadiazol-4-yl)furan-2-carboxylic acid ethyl ester with some bases have been studied. The opening of 1,2,3-thiadiazole... 相似文献