101,042 research outputs found
Small semi-Eberlein compacta and inverse limits
No full textWe study properties of semi-Eberlein compacta related to inverse limits. We concentrate our investigation on an interesting subclass of small semi-Eberlein compacta whose elements are obtained as inverse limits whose bonding maps are semi-open retractions
The (reflected) Eberlein convolution of measures
No full textLenz D, Spindeler T, Strungaru N. The (reflected) Eberlein convolution of measures. Indagationes Mathematicae. 2024;35(5):959-988.In this paper, we study the properties of the Eberlein convolution of measures and introduce a reflected version of it. For functions we show that the reflected Eberlein convolution can be seen as a translation invariant function-valued inner product. We study its regularity properties and show its existence on suitable sets of functions. For translation bounded measures we show that the (reflected) Eberlein convolution always exists along subsequences of the given sequence, and is a weakly almost periodic and Fourier transformable measure. We prove that if one of the two measures is mean almost periodic, then the (reflected) Eberlein convolution is strongly almost periodic. Moreover, if one of the measures is norm almost periodic, so is the (reflected) Eberlein convolution. (c) 2023 Royal Dutch Mathematical Society (KWG). Published by Elsevier B.V. All rights reserved
Eberlein spaces of finite metrizability number
No full textsummary:Yakovlev [{\it On bicompacta in -products and related spaces\/}, Comment. Math. Univ. Carolin. {\bf 21.2} (1980), 263--283] showed that any Eberlein compactum is hereditarily -metacompact. We show that this property actually characterizes Eberlein compacta among compact spaces of finite metrizability number. Uniformly Eberlein compacta and Corson compacta of finite metrizability number can be characterized in an analogous way
Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition
No full textSpindeler T, Strungaru N. Tempered distributions with translation bounded measure as Fourier transform and the generalized Eberlein decomposition. Mathematische Nachrichten. 2024;297(2):25.In this paper, we study the class of tempered distributions whose Fourier transform is a translation bounded measure and show that each such distribution in Rd has order at most 2d. We show the existence of the generalized Eberlein decomposition within this class of distributions, and its compatibility with all previous Eberlein decompositions. The generalized Eberlein decomposition for Fourier transformable measures and properties of its components are discussed. Lastly, we take a closer look at the absolutely continuous spectrum of measures supported on Meyer sets
On pricing risky loans and collateralized fund obligations
No full textLoan spreads are analyzed for two types of loans. The first type takes losses at maturity only; the second follows the formulation of collateralized fund obligations, with losses registered over the lifetime of the contract. In both cases, the implementation requires the choice of a process for the underlying asset value and the identification of the parameters. The parameters of the process are inferred from the option volatility surface by treating equity options as compound options with equity itself being viewed as an option on the asset value with a strike set at the debt level following Merton. Using data on the stock of General Motors during 2002-3, we show that the use of spectrally negative Lévy processes is capable of delivering realistic spreads without inflating debt levels, deflating debt maturities or deviating from the estimated probability laws
Structure of the Eberlein compactification of locally compact Heisenberg type group ZxTxT
No full textGiven a locally compact group G, the Eberlein compactification G(e) is the spectrum of the uniform closure of the Fourier-Stieltjes algebra B(G). Hence, it is the semigroup compactification related to the unitary representations of G. G(e) is a semitopological semigroup compactification and thus a quotient of the weakly almost periodic compactification of G. In this paper we aim to study the Eberlein compactification of the group ZxTxT equipped with Heisenberg type multiplication. First, we will see that transitivity properties of the action of ZxT on the central subgroup T force some aspects of the structure of (ZxTxT) to be quite simple. On the other hand, we will observe that the Eberlein compactification of the direct product group ZxT is large with a complicated structure, and can be realized as a quotient of the Eberlein compactification (ZxTxT)(e)
Letter, [Author unclear] to Paulina T. Merritt
No full textHandwritten letter to Paulina Merritt from an unknown author, October 1, 1876.
Prepare Out Loud
No full textThe American Red Cross Cascades Region helps local communities be prepared for disasters such as a 9.0 Cascadia Subduction Zone earthquake by holding the Prepare Out Loud earthquake preparedness forum. In this presentation, Steve Eberlein discusses the science and history of the Cascadia Subduction Zone, how humans behave during disasters, what to expect during a Cascadia earthquake, how to quickly locate loved ones following a disaster, and how much food, water and other supplies people will need to take care of themselves and others. One of the goals of the presentation is for attendees to understand the central role their actions and voices play in building a culture of resilience
Handwritten biographical information on Paulina T. McClung Merritt
No full textA handwritten biography of Paulina T. McClung Merritt by an unknown author, 1892.
Heterogeneous and tissue-specific regulation of effector T cell responses by IFN-gamma during Plasmodium berghei ANKA infection.
No full textIFN-γ and T cells are both required for the development of experimental cerebral malaria during Plasmodium berghei ANKA infection. Surprisingly, however, the role of IFN-γ in shaping the effector CD4(+) and CD8(+) T cell response during this infection has not been examined in detail. To address this, we have compared the effector T cell responses in wild-type and IFN-γ(-/-) mice during P. berghei ANKA infection. The expansion of splenic CD4(+) and CD8(+) T cells during P. berghei ANKA infection was unaffected by the absence of IFN-γ, but the contraction phase of the T cell response was significantly attenuated. Splenic T cell activation and effector function were essentially normal in IFN-γ(-/-) mice; however, the migration to, and accumulation of, effector CD4(+) and CD8(+) T cells in the lung, liver, and brain was altered in IFN-γ(-/-) mice. Interestingly, activation and accumulation of T cells in various nonlymphoid organs was differently affected by lack of IFN-γ, suggesting that IFN-γ influences T cell effector function to varying levels in different anatomical locations. Importantly, control of splenic T cell numbers during P. berghei ANKA infection depended on active IFN-γ-dependent environmental signals--leading to T cell apoptosis--rather than upon intrinsic alterations in T cell programming. To our knowledge, this is the first study to fully investigate the role of IFN-γ in modulating T cell function during P. berghei ANKA infection and reveals that IFN-γ is required for efficient contraction of the pool of activated T cells
- …
