A generalized Fourier inversion theorem

In this work we define operator-valued Fourier transforms for suitable integrable elements with respect to the Plancherel weight of a (not necessarily Abelian) locally compact group. Our main result is a generalized version of the Fourier inversion Theorem for strictly-unconditionally integrable Fourier transforms. Our results generalize and improve those previously obtained by Ruy Exel in the case of Abelian groups.Comment: 15 pages; some typos correcte

Association Of Objective Measures Of Sleep And Inflammation Markers On Police Officers: A Cross-Sectional Analysis

Police officers are a unique occupational group due to the fact that they have more health problems than many other occupations. These health problems could be a result of elevated inflammation markers caused by poor sleep. Sleep influences circadian rhythms, which thereby influences the function of the immune system. The immune system is responsible for the body’s inflammatory response using pro-inflammatory cytokines such as IL-6, CRP, Fibrinogen, and TNF-a. These cytokines can become elevated if disruption of the sleep cycle occurs. Elevated levels of inflammatory markers are associated with increased risk of cardiovascular disease. Police officers also work shifts and have a large amount of occupational stress that may contribute to increased levels of pro-inflammatory markers as well. This analysis aimed to examine the influence that objective and subjective measures of sleep have on inflammatory markers among police officers within the Buffalo Cardio-Metabolic Occupational Police Stress (BCOPS) cohort crosssectionally. Body mass index (BMI), shift work, and stress measures were examined as potential effect modifiers. Subjective measures of sleep were obtained by the Pittsburgh Sleep Quality Index (PSQI) and objective measures of sleep were obtained through actigraph data. Police officers wore an Actiwatch for 15 consecutive days, where data was made into different sleep parameters. Sleep latency, quality, duration, efficiency and daytime dysfunction were used from the PSQI, and wake after sleep onset, sleep onset latency, sleep duration, and efficiency were used from the actigraph measures. The inflammation markers were collected from blood samples after a 12 hour fast. Each inflammatory marker was measured using different assays at the University of Vermont. General linear models were used to compare adjusted means of categorical sleep measures and beta coefficients for continuous sleep measures for each inflammation marker. Analyses were stratified by normal (18.5-24.9 BMI), overweight (25-29.9 BMI), and obese (≥30 BMI), and then by day and evening/night shiftwork. Logistic regression was performed on a dichotomous version of CRP, using a clinial cut point, and odds ratios were obtained for highrisk CRP. Statistically significant associations were seen between various sleep measures and inflammation markers. It is seen that as sleep worsens, there is an elevation in pro-inflammatory markers

Research Notes : Inheritance of a male-sterile mutant from irradiated Essex soybeans

In 1976, a plant was selected from the M3 generation of some \u27Essex\u27 soybeans that had been irradiated with neutrons and grown at the Eastern Virginia Research Station, Warsaw. The plant had a green stem and reduced seed set. The progeny row grown the following year had all normal appearing plants

The ultraviolet extinction in M-supergiant circumstellar envelopes

Using International Ultraviolet (IUS) archival low-dispersion spectra, ultraviolet spectral extinctions were derived for the circumstellar envelopes of two M supergiants: HD 60414 and HD 213310. The observed stellar systems belong to a class of widely-separated spectroscopic binaries that are called VV Cephei stars. The total extinction was calculated by dividing the reddened fluxes with unreddened comparison fluxes of similar stars (g B2.5 for HD 213310 and a normalized s+B3 for HD 60414) from the reference atlas. After substracting the interstellar extinctions, which were estimated from the E(B-V) reddening of nearby stars, the resultant circumstellar extinctions were normalized at about 3.5 inverse microns. Not only is the 2175 A extinction bump absent in the circumstellar extinctions, but the far-ultraviolet extinction rise is also absent. The rather flat, ultraviolet extinction curves were interpreted as signatures of a population of noncarbonaceous, oxygen-rich grains with diameters larger than the longest observed wavelength

Research notes: A second gene for resistance to peanut mottle virus in soybean

Soybean (Glycine max [L.] Merr.) was first reported as a natural host of peanut mottle virus (PMV) in 1972 by research workers in Georgia (Kuhn et al., 1972). PMV on soybean has since been reported in Virginia, South Carolina, Australia, and East Africa (Demski and Kuhn, 1977). Boerma and Kuhn (1976) reported resistance to PMV in soybeans to be conditioned by a completely dominant allele at a single locus. The objective of this study was to determine if there are other genes and/or alleles that might condition resistance to PMV

Research Notes : Observations of polyembryony and polyploidy in ms1 and ms2 male-sterile soybean populations

Several reports of polyembryony and polyploidy in the progeny of ms1 male-sterile soybeans have been made. Kenworthy et al. (1973) found 4% of 3485 seeds contained twin seedlings. Three triploids and one haploid were found among the twins

The prospects for mathematical logic in the twenty-first century

The four authors present their speculations about the future developments of mathematical logic in the twenty-first century. The areas of recursion theory, proof theory and logic for computer science, model theory, and set theory are discussed independently.Comment: Association for Symbolic Logi

Research Notes: Reaction to peanut mottle virus in plant introductions of Maturity Groups 00 through IV

The results of screening the soybean plant introductions in Maturity Groups II, III, and IV have been reported by Shipe et al. (1979) . The results of evaluating the earlier maturity groups are reported here. Plant introductions that became available after 1976 have not been screened