Results 61 to 70 of about 85,492 (193)
Fortschritte der Physik, Volume 74, Issue 4, April 2026.ABSTRACT In this paper, we continue the development of the Cartan neural networks programme, launched with three previous publications, by focusing on some mathematical foundational aspects that we deem necessary for our next steps forward. The mathematical and conceptual results are diverse and span various mathematical fields, but the inspiring ...
Pietro Fré +4 more
wiley +1 more source
The Linearized Korteweg–de Vries Equation on the Line With Metric Graph Defects
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We study the small‐amplitude linearization of the Korteweg–de Vries equation on the line with a local defect scattering waves represented by a metric graph domain adjoined at one point. For a representative collection of examples, we derive explicit solution formulas expressed as contour integrals and obtain existence and unicity results for ...
D. A. Smith
wiley +1 more source
Holomorphic Extensions of Orthogonal Projections Into Holomorphic Functions [PDF]
Proceedings of the American Mathematical Society, 1975 A condition is given which insures that the orthogonal projection of a function into the holomorphic functions is holomorphically extendible across a given boundary point.
openaire +1 more source
Non‐Relativistic Limit of Dirac Hamiltonians With Aharonov–Bohm Fields
Studies in Applied Mathematics, Volume 156, Issue 4, April 2026.ABSTRACT We characterize the families of self‐adjoint Dirac and Schrödinger operators with Aharonov–Bohm magnetic field, and we exploit the non‐relativistic limit of infinite light speed to connect the former to the latter. The limit consists of the customary removal of the rest energy and of a suitable scaling, with the light speed, of the short‐scale
Matteo Gallone +2 more
wiley +1 more source
On q-analogue of Janowski-type starlike functions with respect to symmetric points
Demonstratio Mathematica, 2021 The main objective of the present paper is to define a class of qq-starlike functions with respect to symmetric points in circular domain. Some interesting results of these functions have been evaluated in this article.
Khan Muhammad Ghaffar +4 more
doaj +1 more source
Symmetrization and the rate of convergence of semigroups of holomorphic functions
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Let (ϕt)$(\phi _t)$, t⩾0$t\geqslant 0$, be a semigroup of holomorphic self‐maps of the unit disk D$\mathbb {D}$. Let Ω$\Omega$ be its Koenigs domain and τ∈∂D$\tau \in \partial \mathbb {D}$ be its Denjoy–Wolff point. Suppose that 0∈Ω$0\in \Omega$ and let Ω♯$\Omega ^\sharp$ be the Steiner symmetrization of Ω$\Omega$ with respect to the real axis.
Dimitrios Betsakos +1 more
wiley +1 more source
Weighted Vector-Valued Holomorphic Functions on Banach Spaces
Abstract and Applied Analysis, 2013 We study the weighted Banach spaces of vector-valued holomorphic functions defined on an open and connected subset of a Banach space. We use linearization results on these spaces to get conditions which ensure that a function f defined in a subset A of ...
Enrique Jordá
doaj +1 more source
Axial Monogenic Functions from Holomorphic Functions
Journal of Mathematical Analysis and Applications, 1993 Axial monogenic functions \(f_ k\) are considered. These are solutions of the equation \((\partial_{\mathbf x} + \partial_{x_ 0}) f_ k = 0\) where \(\partial_{\mathbf x}\) is the Dirac operator of the Euclidean \(m\)- space of the form \[ f_ k(x) = \bigl[ A_ k (x_ 0, \rho) + e_ \rho B_ k (x_ 0, \rho) \bigr] P_ k (e_ \rho) \] where \(x = x_ 0 e_ 0 ...
Common, A.K., Sommen, F.
openaire +2 more sources
GCD inequalities arising from codimension‐2 blowups
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract Assuming a deep Diophantine geometry conjecture by Vojta, Silverman proved an inequality giving an upper bound for the greatest common divisor (GCD). In this paper, we unconditionally prove a weaker version of this inequality. The main ingredient is the Ru–Vojta theory, which provides an efficient method of using Schmidt subspace theorem.
Yu Yasufuku
wiley +1 more source
A fractional residue theorem and its applications in calculating real integrals
Bulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley +1 more source