Fitting ideals and multiple points of analytic mappings

1989 ◽  
pp. 107-161 ◽  
Author(s):  
David Mond ◽  
Ruud Pellikaan
Keyword(s):  
Multiple Points ◽  
Analytic Mappings

New generalized 2D Ostrowski type inequalities on time scales with k2 points using a parameter

Filomat ◽  
2018 ◽  
Vol 32 (9) ◽  
pp. 3155-3169 ◽  
Author(s):  
Seth Kermausuor ◽  
Eze Nwaeze
Keyword(s):  
Numerical Analysis ◽  
Time Scales ◽  
Type Inequality ◽  
Dimensional Case ◽  
Multiple Points ◽  
Quantum Calculus ◽  
Independent Variables ◽  
Ostrowski Type Inequality ◽  
Two Independent Variables

Recently, a new Ostrowski type inequality on time scales for k points was proved in [G. Xu, Z. B. Fang: A Generalization of Ostrowski type inequality on time scales with k points. Journal of Mathematical Inequalities (2017), 11(1):41-48]. In this article, we extend this result to the 2-dimensional case. Besides extension, our results also generalize the three main results of Meng and Feng in the paper [Generalized Ostrowski type inequalities for multiple points on time scales involving functions of two independent variables. Journal of Inequalities and Applications (2012), 2012:74]. In addition, we apply some of our theorems to the continuous, discrete, and quantum calculus to obtain more interesting results in this direction. We hope that results obtained in this paper would find their place in approximation and numerical analysis.

Matter and the Soul

2018 ◽  
Author(s):  
Sarah Parkhouse
Keyword(s):  
Post Mortem ◽  
Multiple Points

The theme of eschatology is not usually identified by exegetes as particularly emphasized in the Gospel of Mary, though it should be. The two primary teachings, the dialogue between the Saviour and his disciples and Mary’s recollection of her vision, are predominantly eschatological in nature, the former being concerned with the earthly realm and the latter the heavenly. The earthly realm is the created cosmos made of ‘matter’, destined for dissolution owing to its inherent instability, whereas the heavenly is the home of the ‘Soul’, the goal of its perilous post-mortem journey past hostile spiritual powers that seek to bar its way. Despite obvious differences with the Olivet Discourse of Matthew 24 and parallels, there are multiple points of convergence with the eschatological teachings within the canonical gospels. Starting from the Gospel of Mary, this chapter explores connections between eschatological thinking on both sides of the canonical boundary.

scholarly journals Hardy Spaces for Quasiregular Mappings and Composition Operators

2021 ◽  
Author(s):  
Tomasz Adamowicz ◽  
María J. González
Keyword(s):  
Hardy Spaces ◽  
Composition Operators ◽  
Quasiconformal Mappings ◽  
Carleson Measures ◽  
Quasiregular Mappings ◽  
Classical Setting ◽  
Appl Math ◽  
Analytic Mappings

AbstractWe define Hardy spaces $${\mathcal {H}}^p$$ H p for quasiregular mappings in the plane, and show that for a particular class of these mappings many of the classical properties that hold in the classical setting of analytic mappings still hold. This particular class of quasiregular mappings can be characterised in terms of composition operators when the symbol is quasiconformal. Relations between Carleson measures and Hardy spaces play an important role in the discussion. This program was initiated and developed for Hardy spaces of quasiconformal mappings by Astala and Koskela in 2011 in their paper $${\mathcal {H}}^p$$ H p -theory for Quasiconformal Mappings (Pure Appl Math Q 7(1):19–50, 2011).

Weierstrass multiple points and ramification points of smooth projective curves

1998 ◽  
Vol 174 (1) ◽  
pp. 241-251
Author(s):  
E. Ballico ◽  
C. Keem ◽  
S. J. Kim
Keyword(s):  
Multiple Points ◽  
Projective Curves ◽  
Ramification Points

scholarly journals Fixed points of quasi-nonexpansive mappings

1972 ◽  
Vol 13 (2) ◽  
pp. 167-170 ◽  
Author(s):  
W. G. Dotson
Keyword(s):  
Fixed Points ◽  
Banach Spaces ◽  
Linear Space ◽  
Complex Plane ◽  
Normed Linear Space ◽  
Nonexpansive Mappings ◽  
Common Fixed Points ◽  
The Other ◽  
Commuting Mappings ◽  
Analytic Mappings

A self-mapping T of a subset C of a normed linear space is said to be non-expansive provided ║Tx — Ty║ ≦ ║x – y║ holds for all x, y ∈ C. There has been a number of recent results on common fixed points of commutative families of nonexpansive mappings in Banach spaces, for example see DeMarr [6], Browder [3], and Belluce and Kirk [1], [2]. There have also been several recent results concerning common fixed points of two commuting mappings, one of which satisfies some condition like nonexpansiveness while the other is only continuous, for example see DeMarr [5], Jungck [8], Singh [11], [12], and Cano [4]. These results, with the exception of Cano's, have been confined to mappings from the reals to the reals. Some recent results on common fixed points of commuting analytic mappings in the complex plane have also been obtained, for example see Singh [13] and Shields [10].

Historical Citation and Revolutionary Epistemology

2015 ◽  
Vol 9 (2) ◽  
pp. 258-283
Author(s):  
Alison Ross
Keyword(s):  
Nineteenth Century ◽  
Multiple Points ◽  
Distinctive Features ◽  
The Past ◽  
Word And Image ◽  
Arcades Project ◽  
Intended Effect

This article defends the thesis that there are multiple points of exchange between the categories of “word” and “image” in Walter Benjamin’s Arcades Project. Benjamin describes the truth of the articulate wish of the past as “graphically perceptible” and the image as “readable.” In this respect the vocabulary of “word” and “image” that Benjamin’s early work had opposed are not just deployed in concert, but specific features of the vocabulary of “word” and “image” become exchangeable. The distinctive features of this exchange can be used to expound on Benjamin’s peculiar understanding of revolutionary experience and the significance of the break that it marks with his early way of opposing the word and the image. In particular, the exchange of features between word and image can explain the mechanics and intended effect of his idea that the meaning of history can be perceived in an image. The study of this exchange also shows that although the framework of “graphic perception” entails an experience of motivating meaning that is epistemologically grounded, the citation model of history is unable to secure the extension of the sought after legibility of the nineteenth century to a recipient.

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