Results 11 to 20 of about 86 (32)

Non-Archimedean Models of Morphogenesis [PDF]

, 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.
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Boundary interpolation for slice hyperholomorphic Schur functions [PDF]

, 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., Alpay, D., Colombo, F., Kimsey, D. P., Sabadini, I.   +4 more
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ON SURFACES CONSTRUCTED BY EVOLUTION ACCORDING TO QUASI FRAME [PDF]

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

, 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, A.H. Sayed, A.M. Bruckstein, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D. Alpay, D.S. Kalyuzhniy-Verbovetzky, Daniel Alpay, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, F. Colombo, Fabrizio Colombo, G. Gentili, G. Gentili, G. Weiss, H. Bart, H. Holden, Irene Sabadini, J. Ball, J.A. Ball, L. Branges de, L. Branges de, M. Fliess, M. Hazewinkel, M.S. Brodskĭ, M.S. Livšic, P.A. Fillmore, R. Ghiloni, R. Pereira, R. Pereira, T. Constantinescu, T. Kailath, V. Bolotnikov, V. Dubovoj, W.F. Donoghue   +52 more
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Pontryagin de Branges Rovnyak spaces of slice hyperholomorphic functions [PDF]

, 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, Colombo, Fabrizio, Sabadini, Irene   +2 more
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Positivity, rational Schur functions, Blaschke factors, and other related results in the Grassmann algebra [PDF]

, 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, Paiva, Ismael L., Struppa, Daniele C.   +2 more
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p-adic Welch Bounds and p-adic Zauner Conjecture

, 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
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On the polar decomposition of right linear operators in quaternionic Hilbert spaces

, 2015
In this article we prove the existence of the polar decomposition for densely defined closed right linear operators in quaternionic Hilbert spaces: If $T$ is a densely defined closed right linear operator in a quaternionic Hilbert space $H$, then there ...
Adler S. L., Halmos P. R., Ramesh G, Santhosh Kumar P   +3 more
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W Boson Inclusive Decays to Quarkonium at the LHC

, 2012
In this paper, the production rates of quarkonia eta_c, J/psi, eta_b, Upsilon, B_c and B_c^* through W boson decay at the LHC are calculated, at the leading order in both the QCD coupling constant and in v, the typical velocity of the heavy quark inside ...
A.M. Cooper-Sarkar, B. Ananthanarayan, C. Rovelli, C.-F. Qiao, C.-H. Chang, C.-H. Chang, C.-H. Chang, Cong-Feng Qiao, De-Shan Yang, E. Braaten, E. Braaten, E. Braaten, E. Braaten, E.J. Eichten, G.T. Bodwin, J.R. Gaunt, K. Nakamura, Li-Ping Sun, M.W. Krasny, P. Petroff, R.M.T. Keup, Rui-Lin Zhu, S. Bolognesi, T.C. Yuan, V. Barger, V. Cavaliere, X.-G. Wu, Y.-Q. Chen   +27 more
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Continuous Functional Calculus for Quaternionic Bounded Normal Operators

, 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.
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