963 research outputs found

    Degenerate Whittaker functions for Sp_n(R)

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    In this paper, we construct Whittaker functions with exponential growth for the degenerate principal series of the symplectic group of genus n induced from the Siegel parabolic subgroup. This is achieved by explicitly constructing a certain Goodman–Wallach operator which yields an intertwining map from the degenerate principal series to the space of Whittaker functions, and by evaluating it on weight- ℓ standard sections. We define a differential operator on such Whittaker functions which can be viewed as generalization of the ξ -operator on harmonic Maass forms for \SL2(\R)

    Federalism to an Advantage: The Demise of State Blue Sky Laws Under the Uniform Securities Act

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    They come at an opportune time. They are the changes to the Uniform Securities Act. Although some of the changes are perfunctory, the significant changes have a fascinating common thread running through them. That fascinating thread is federalism. Changes in the Act could move regulation away from the hands of the states and make federal registration, more or less, a ticket for sales without state approval. The changes are not without opposition. This article will discuss the changes, the reactions of particular concerned groups and the perceived effects of such changes

    The Evolution of Calcium-Based Signalling in Plants

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    The calcium-based intracellular signalling system is used ubiquitously to couple extracellular stimuli to their characteristic intracellular responses. It is becoming clear from genomic and physiological investigations that while the basic elements in the toolkit are common between plants and animals, evolution has acted in such a way that, in plants, some components have diversified with respect to their animal counterparts, while others have either been lost or have never evolved in the plant lineages. In comparison with animals, in plants there appears to have been a loss of diversity in calcium-influx mechanisms at the plasma membrane. However, the evolution of the calcium-storing vacuole may provide plants with additional possibilities for regulating calcium influx into the cytosol. Among the proteins that are involved in sensing and responding to increases in calcium, plants possess specific decoder proteins that are absent from the animal lineage. In seeking to understand the selection pressures that shaped the plant calcium-signalling toolkit, we consider the evolution of fast electrical signalling. We also note that, in contrast to animals, plants apparently do not make extensive use of cyclic-nucleotide-based signalling. It is possible that reliance on a single intracellular second-messenger-based system, coupled with the requirement to adapt to changing environmental conditions, has helped to define the diversity of components found in the extant plant calcium-signalling toolkit

    Individual meaning in life assessed with the Schedule for Meaning in Life Evaluation: toward a circumplex meaning model

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    AbstractObjective:The experience of “meaning in life” (MiL) is a major aspect of life satisfaction and psychological well-being. To assess this highly individual construct, idiographic measures with open-response formats have been developed. However, it can be challenging to categorize these individual experiences for interindividual comparisons. Our study aimed to derive MiL categories from individual listings and develop an integrative MiL model.Method:University students were asked to rate 58 MiL providing aspects recently found in a nationwide study using the Schedule for Meaning in Life Evaluation (SMiLE), an MiL instrument allowing for open responses. Pearson's correlations and factor analyses were used to test the unidimensionality of subsequently derived higher-order MiL categories. Multidimensional scaling, cluster analysis, and factor analysis were performed to further analyze a latent MiL structure.Results:A total of 340 students participated in the study. Some 11 unidimensional categories consisting of 34 meaning-providing aspects were summarized into a circumplex model with four MiL domains: leisure/health, work/finances, culture/spirituality, and relationships (family, partnership, social relations).Significance of results:This model seems to incorporate a major portion of individual respondent-generated MiL listings. It may be useful for future idiographic MiL studies to help organize individual experiences of MiL and allow for higher-level interindividual comparisons. Further studies including different samples are necessary to confirm this model or derive other MiL domains, for example, in palliative care patients or patients who are confronted with a loss of meaning.</jats:sec
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