Results 31 to 40 of about 954,644 (280)
COMPACT DIFFERENCES OF COMPOSITION OPERATORS [PDF]
Bulletin of the Australian Mathematical Society, 2008 AbstractLet ϕ andψbe analytic self-maps of the open unit disk. Each of them induces a composition operator,CϕandCψrespectively, acting between weighted Bergman spaces of infinite order. We show that the differenceCϕ−Cψis compact if and only if both operators are compact or both operators are not compact and the pseudohyperbolic distance of the ...
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Mezocontinuous operators and solutions of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2016 We attempt to unify and extend the theory of asymptotic properties of solutions to difference equations of various types. Usually in difference equations some functions are used which generate transformations of sequences. We replace these functions by
Janusz Migda
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Reflectionless analytic difference operators I. algebraic framework
, 2000 We introduce and study a class of analytic difference operators admitting reflectionless eigenfunctions. Our construction of the class is patterned after the Inverse Scattering Transform for the reflectionless self-adjoint Schr\"odinger and Jacobi ...
Calogero F +8 more
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Landau’s inequality for the difference operator [PDF]
Proceedings of the American Mathematical Society, 1988 The best constants for Landau’s inequality with the classical p p -norms are known explicitly only when p = 1 , 2 and ∞ p = 1,2{\text { and }}\infty .
Kwong, Man Kam, Zettl, A.
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S-duality and the N=2 Lens Space Index
, 2013 We discuss some of the analytic properties of lens space indices for 4d N=2 theories of class S. The S-duality properties of these theories highly constrain the lens space indices, and imply in particular that they are naturally acted upon by a set of ...
Razamat, Shlomo S., Yamazaki, Masahito
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, 2004 Starting from Rodrigues formula we present a general construction of raising and lowering operators for orthogonal polynomials of continuous and discrete variable on uniform lattice.
Atakishiev N A +20 more
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Difference operators on lattices
Journal of Algebra and Its Applications, 2023 A differential operator of weight [Formula: see text] is the algebraic abstraction of the difference quotient [Formula: see text], including both the derivation as [Formula: see text] approaches to [Formula: see text] and the difference operator when [Formula: see text].
Aiping Gan, Li Guo
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Chemotherapy‐induced peripheral neuropathy remains a major complication in pediatric cancer, with disrupted somatosensory and nociceptive processing being a key aspect. This review synthesizes empirical studies on alterations in somatosensory and nociceptive processing in children and adolescents with cancer.
Julia Schweiger +4 more
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Resonances for Difference Operators
Journal of Mathematical Analysis and Applications, 1995 The author shows the existence of resonances for the difference operators \(H\) on \(\ell^2(\mathbb{Z})\), defined by \(D^* D+ V\), where \(D: \varphi(n)\mapsto \varphi(n+ 1)- \varphi(n)\), \(D^*: \varphi(n)\mapsto \varphi(n)- \varphi(n- 1)\), and barrier potential \(V\), multiplication by a real-valued function on \(\mathbb{Z}\), \(\text{supp } V ...
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Primary lung carcinomas and bronchial carcinoid tumors (BC) are very rare malignancies in childhood. While typical BC and mucoepidermoid carcinomas are mostly low‐grade, localized tumors with a more favorable prognosis than in adults, necessitating avoidance of overtreatment, adenocarcinomas of the lung are often diagnosed at advanced disease ...
Michael Abele +19 more
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