97,660 research outputs found

    Joshua Davis: Author of Spare Parts

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    Citation: K-State First (2016). Joshua Davis: Author of Spare Parts [Flier]. Manhattan, Kansas: K-State First.Flyer advertising Joshua Davis's author talk at Kansas State University

    A Hörmander–Fock space

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    In a recent paper, we used a basic decomposition property of poly analytic functions of order 2 in one complex variable to characterize solutions of the classical partial derivative(-)-problem for given analytic and polyanalytic data. Our approach suggested the study of a special reproducing kernel Hilbert space that we call the Hormander-Fock space that will be further investigated in this paper. The main properties of this space are encoded in a specific moment sequence denoted by eta= (eta(n))(n= 0) leading to a special entire function E(z) that is used to express the kernel function of the Hormander-Fock space. We present also an example of a special function belonging to the class Mittag-Leffler (ML) introduced recently by Alpay et al. and apply a Bochner-Minlos type theorem to this function, thus motivating further connections with the theory of stochastic processes

    Steven Johnson Author Talk Poster

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    K-State Book NetworkA poster advertising an author talk by Steven Johnson at Kansas State University on September 3, 2014. Steven Johnson's book "The Ghost Map" was the 2014-2015 common book

    Fock and Hardy spaces: Clifford Appell case

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    In this paper, we study a specific system of Clifford-Appell polynomials and, in particular, their product. Moreover, we introduce a new family of quaternionic reproducing kernel Hilbert spaces in the framework of Fueter regular functions. The construction is based on a general idea which allows us to obtain various function spaces by specifying a suitable sequence of real numbers. We focus on the Fock and Hardy cases in this setting, and we study the action of the Fueter mapping and its range

    On the global operator and Fueter mapping theorem for slice polyanalytic functions

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    In this paper, we prove that slice polyanalytic functions on quaternions can be considered as solutions of a power of some special global operator with nonconstant coefficients as it happens in the case of slice hyperholomorphic functions. We investigate also an extension version of the Fueter mapping theorem in this polyanalytic setting. In particular, we show that under axially symmetric conditions it is always possible to construct Fueter regular and poly-Fueter regular functions through slice polyanalytic ones using what we call the poly-Fueter mappings. We study also some integral representations of these results on the quaternionic unit ball

    Impact of crystallisation processes on depth profile formation in sol-gel PbZr(0.52)Ti(0.48)O3 thin films

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    This study revealed the influence of crystallisation processes on the homogeneity of the sol‐gel PbZr0·52Ti0·48O3 thin films, allowing identification and further optimisation of thin film performance. Crystallisation processes determine the optical gradient appearance, irrespective of the chemical solvents used in this work. X-ray diffraction analysis showed that a refractive index gradient was apparent in the samples which had dominant (001)/(100) orientation and significant change of lattice parameters with thickness

    The Fueter Mittag-Leffler Bargmann transform

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    In this paper we continue exploring the Mittag-Leffler Bargmann (MLB) transform, which maps the Hilbert space L2(R) onto the Mittag-Leffler-Fock (MLF) space. The MLF space is a reproducing kernel Hilbert space that extends the classic Fock space and its reproducing kernel is given by the Mittag-Leffler function. We study the MLB transform and its main properties in the quaternionic setting. In this noncommutative setting there are two function theories that are prominent: the slice hyperholomorphic theory and the Fueter regular theory. The connection between the slice hyperholomorphic functions and the Fueter regular functions is given by the Fueter mapping theorem. The Mittag-Leffler Bargmann transform investigated in this paper maps the quaternionic-valued L2(R, H) space onto a counterpart of the MLF space in the Fueter regular setting. Finally the creation, annihilation, backward-shift and integration operators are studied in the case of the Fueter-MLF space. (c) 2025 The Authors. Published by Elsevier Inc. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/)

    Cefepime-induced non-convulsive status epilepticus n a peritoneal dialysis patient

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    Non-convulsive status epilepticus related to cefepime has not been reported in childhood dialysis patients, although several adult cases have been reported. We report a state of acute confusion in a 15-year-old boy on continuous ambulatory peritoneal dialysis (CAPD) receiving cefepime that was diagnosed as status epilepticus by electroencephalography (EEG). The EEG improved after anticonvulsive therapy. All clinical symptoms disappeared dramatically within 24 h of discontinuation of cefepime. The differential diagnosis of confusional states and the mechanisms of the convulsive effects of antimicrobials in chronic renal failure are discussed. The importance that the clinician is aware of the rare side effects of antimicrobials is emphasized. © IPNA 2004

    Is there a relationship between fibroblast growth factor 23 and blood pressure in children with chronic kidney disease

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    BACKGROUND AND AIMS: Chronic kidney disease (CKD) is a complex medical and social problem worldwide due to high prevalence and mortality rates. According to the ESPN/ERA-EDTA, the prevalence of CKD stages 3–5 in children is about 55– 60 pmarp [1]. Moreover, CKD usually causes different severe complications, including pathologic changes in the cardiovascular system, which significantly affect long-term survival. Unlike many complications of CKD, hypertension can be present in the earliest stages of the disease [2]. Nowadays, there has been a scientific and practical interest in Fibroblast growth factor 23 (FGF-23) which is mostly considered as a phosphate-regulating biomarker [3]. There are some speculations that FGF-23 affects blood pressure (BP) in adults due to the impact on the renin-angiotensin-aldosterone system (RAAS) by decreasing calcitriol [4] and the direct effect of FGF-23 on sodium reabsorption, which has been demonstrated in experimental models [5]. Therefore, the aim of our study was to investigate the link between FGF-23 and BP in children with CKD. METHOD: There were 73 children with CKD stages 1–5, mean age was 9.79 ± 0.58 years. BP was determined by 3 times measurement and calculating the mean value. Received results were compared with percentile norms according to age and gender in order to divide patients into two groups: normotensive and hypertensive. FGF-23 was determined in serum by multimatrix ELISA kit (Biomedica Medizinprodukte GmbH, Austria). Statistical analysis was performed using SPSS version 26 (IBM, USA). RESULTS: In the group with normal BP the median of FGF-23 in serum was 1.8 [0.7–3.4] pmol/L. In comparison, in the group with a hypertensive level of BP median indicator of FGF-23 was 7.6 (1.98–18.5) pmol/L (P < .001). The prevalence of elevated FGF-23 in children with high BP predominates 1.6 times [95% confidence interval (95% CI): 1.2–2.1]. It is also noticed that pulse BP positively correlated with FGF-23 level in serum (r = 0.402, P < .001). CONCLUSION: Our findings confirm that FGF-23 is linked to BP in children with CKD what makes us conclude that more careful attention to children with a high level of FGF-23 is needed in relation to hypertension and as a consequence cardiovascular complications. However, more investigations should be done in order to establish a causal relationship
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