Results 61 to 70 of about 43,954 (320)
Isoresonant complex-valued potentials and symmetries
, 2009 Let $X$ be a connected Riemannian manifold such that the resolvent of the free Laplacian $(\Delta-z)^{-1}, z\in\C\setminus\R^{+},$ has a meromorphic continuation through $\R^{+}$. The poles of this continuation are called resonances.
Agmon +23 more
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Resolvable, not maximally resolvable spaces
Topology and its Applications, 1997 According to \textit{J. G. Ceder} [Fundam. Math. 55, 87-93 (1964; Zbl 0139.40401)] following E. Hewitt (1963), a space \(X= (X,{\mathcal T})\) is said to be \(\kappa\)-resolvable if \(X\) is the union of \(\kappa\)-many pairwise disjoint dense subsets; and \(X\) is maximally resolvable if \(X\) is \(\Delta(X)\)-resolvable, where \(\Delta(X)= \min\{| U|:
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Organoids in pediatric cancer research
FEBS Letters, EarlyView.Organoid technology has revolutionized cancer research, yet its application in pediatric oncology remains limited. Recent advances have enabled the development of pediatric tumor organoids, offering new insights into disease biology, treatment response, and interactions with the tumor microenvironment.
Carla Ríos Arceo, Jarno Drost
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Properties of the resolvent of singular q-Dirac operators
Electronic Journal of Differential Equations, 2020 In this article, we investigate the resolvent operator of a singular q-Dirac system. We obtain an integral representations for the resolvent of this system, in terms of the spectral function.
Bilender P. Allahverdiev, Huseyin Tuna
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Approximating Functions of Positive Compact Operators by Using Bell Polynomials
Axioms, 2020 After recalling the most important properties of the Bell polynomials, we show how to approximate a positive compact operator by a suitable matrix. Then, we derive a representation formula for functions of the obtained matrix, which can be considered as ...
Diego Caratelli +2 more
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Quartic rings associated to binary quartic forms
, 2011 We give a bijection between binary quartic forms and quartic rings with a monogenic cubic resolvent ring, relating the rings associated to binary quartic forms with Bhargava's cubic resolvent rings.
Wood, Melanie Matchett
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Reciprocal control of viral infection and phosphoinositide dynamics
FEBS Letters, EarlyView.Phosphoinositides, although scarce, regulate key cellular processes, including membrane dynamics and signaling. Viruses exploit these lipids to support their entry, replication, assembly, and egress. The central role of phosphoinositides in infection highlights phosphoinositide metabolism as a promising antiviral target.
Marie Déborah Bancilhon, Bruno Mesmin
wiley +1 more source
, 2013 We introduce the concepts of the Fourier transform and convolution generated by an arbitrary restriction of the differentiation operator in the space $L_{2}(0,b).$ In contrast to the classical convolution, the introduced convolution explicitly depends on
Kanguzhin, Baltabek +1 more
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Pollicott-Ruelle resolvent and Sobolev regularity [PDF]
, 2021 Semyon Dyatlov
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Journal of Number Theory, 1999 The main subject of this paper is a generalization of previous results \textit{R. Schertz} [J. Number Theory 39, 285-326 (1991; Zbl 0739.11052)]. Let \(K\) be an imaginary quadratic number field and \({a}\), \( {b}\) integer ideals in \(K\). The author gives an explicit Galois generator for the ring of integers of the ray class field over \(K\), in ...
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