Results 11 to 20 of about 103 (45)

Non-Archimedean Models of Morphogenesis [PDF]

open access: yes, 2020
We study a p-adic reaction-diffusion system and the associated Turing patterns. We establish an instability criteria and show that the Turing patterns are not classical patterns consisting of alternating domains.
Zúñiga-Galindo, W. A.
core   +4 more sources

ON SURFACES CONSTRUCTED BY EVOLUTION ACCORDING TO QUASI FRAME [PDF]

open access: yes, 2020
The present paper presents evolutions of spherical indicatrix of a space curve according to the quasi-frame. Then, some geometric properties of these surfaces constructed by evolutions have been obtained.
Sariaydin, Muhammed T., Yazla, Aziz
core   +1 more source

Schur functions and their realizations in the slice hyperholomorphic setting [PDF]

open access: yes, 2011
we start the study of Schur analysis in the quaternionic setting using the theory of slice hyperholomorphic functions. The novelty of our approach is that slice hyperholomorphic functions allows to write realizations in terms of a suitable resolvent, the
A.H. Sayed   +52 more
core   +3 more sources

Simple study designs in ecology produce inaccurate estimates of biodiversity responses

open access: yesJournal of Applied Ecology, Volume 56, Issue 12, Page 2742-2754, December 2019., 2019
We suggest that more investment in more robust designs is needed in ecology since inferences from simpler designs, even with large sample sizes may be misleading. Facilitating this requires longer‐term funding and stronger research–practice partnerships. We also propose ‘accuracy weights’ and demonstrate how they can weight studies in three recent meta‐
Alec P. Christie   +6 more
wiley   +1 more source

Boundary interpolation for slice hyperholomorphic Schur functions [PDF]

open access: yes, 2014
A boundary Nevanlinna-Pick interpolation problem is posed and solved in the quaternionic setting. Given nonnegative real numbers $\kappa_1, \ldots, \kappa_N$, quaternions $p_1, \ldots, p_N$ all of modulus $1$, so that the $2$-spheres determined by each ...
Abu-Ghanem, K.   +4 more
core   +3 more sources

Tauberian operators in p‐adic analysis

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 24, Issue 3, Page 149-162, 2000., 2000
In archimedean analysis Tauberian operators and operators having property N were defined by Kalton and Wilansky (1976). We give several characterizations of p‐adic Tauberian operators and operators having property N in terms of basic sequences. And, as its applications, we give some equivalent relations between these operators and p‐adic semi‐Fredholm ...
Takemitsu Kiyosawa
wiley   +1 more source

Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions [PDF]

open access: yes, 2012
We study reproducing kernel Hilbert and Pontryagin spaces of slice hyperholomorphic functions which are analogs of the Hilbert spaces of analytic functions introduced by de Branges and Rovnyak.
Alpay, Daniel   +2 more
core   +4 more sources

p-adic Welch Bounds and p-adic Zauner Conjecture

open access: yes, 2022
Let $p$ be a prime. For $d\in \mathbb{N}$, let $\mathbb{Q}_p^d$ be the standard $d$-dimensional p-adic Hilbert space. Let $m \in \mathbb{N}$ and $\text{Sym}^m(\mathbb{Q}_p^d)$ be the p-adic Hilbert space of symmetric m-tensors.
Krishna, K. Mahesh
core   +1 more source

Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra [PDF]

open access: yes, 2018
We begin a study of Schur analysis in the setting of the Grassmann algebra, when the latter is completed with respect to the $1$-norm. We focus on the rational case.
Alpay, Daniel   +2 more
core   +3 more sources

Continuous Functional Calculus for Quaternionic Bounded Normal Operators

open access: yes, 2017
In this article we give an approach to define continuous functional calculus for bounded quaternionic normal operators defined on a right quaternionic Hilbert space.Comment: Submitted to a journal. There was a gap in the previous version.
Kumar, P. Santhosh, Ramesh, G.
core   +1 more source

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