Entire Functions in Weighted ð˜“â‚‚ and Zero Modes of the Pauli Operator with Non-Signdefinite Magnetic Field
-
Grigori Rozenblum
grigori@math.chalmers.se
-
Nikolay Shirokov
nikolai.shirokov@gmail.com
Downloads
DOI:
https://doi.org/10.4067/S0719-06462010000100011Abstract
For a real non-signdefinite function B(z), z ∈ â„‚, we investigate the dimension of the space of entire analytical functions square integrable with weight e±2F, where the function F(z) = F(x1, x2) satisfies the Poisson equation ∆F = B. The answer is known for the function B with constant sign. We discuss some classes of non-signdefinite positively homogeneous functions B, where both infinite and zero dimension may occur. In the former case we present a method of constructing entire functions with prescribed behavior at infinity in different directions. The topic is closely related with the question of the dimension of the zero energy subspace (zero modes) for the Pauli operator.
Keywords
Similar Articles
- Abdi Oli, Kelelaw Tilahun, G. V. Reddy, The Multivariable Aleph-function involving the Generalized Mellin-Barnes Contour Integrals , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- Abdeldjalil Aouane, Smaïl Djebali, Mohamed Aziz Taoudi, Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions , CUBO, A Mathematical Journal: Vol. 22 No. 3 (2020)
- David Békollè, Khalil Ezzinbi, Samir Fatajou, Duplex Elvis Houpa Danga, Fritz Mbounja Béssémè, Convolutions in \((\mu,\nu)\)-pseudo-almost periodic and \((\mu,\nu)\)-pseudo-almost automorphic function spaces and applications to solve integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Binayak S. Choudhury, Nikhilesh Metiya, Sunirmal Kundu, Existence, well-posedness of coupled fixed points and application to nonlinear integral equations , CUBO, A Mathematical Journal: Vol. 23 No. 1 (2021)
- Jyotirmoy Mouley, M. M. Panja, B. N. Mandal, Approximate solution of Abel integral equation in Daubechies wavelet basis , CUBO, A Mathematical Journal: Vol. 23 No. 2 (2021)
- Svetlin Georgiev, Mohamed Majdoub, Two nonnegative solutions for two-dimensional nonlinear wave equations , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Mohamed Bouaouid, Ahmed Kajouni, Khalid Hilal, Said Melliani, A class of nonlocal impulsive differential equations with conformable fractional derivative , CUBO, A Mathematical Journal: Vol. 24 No. 3 (2022)
- Raúl Fierro, Sergio Pizarro, Fixed points of set-valued mappings satisfying a Banach orbital condition , CUBO, A Mathematical Journal: Vol. 25 No. 1 (2023)
- Abdelhamid Bensalem, Abdelkrim Salim, Bashir Ahmad, Mouffak Benchohra, Existence and controllability of integrodifferential equations with non-instantaneous impulses in Fréchet spaces , CUBO, A Mathematical Journal: Vol. 25 No. 2 (2023)
- Seyed Mostafa Sajjadi, Ghasem Alizadeh Afrouzi, On a class of fractional \(p(x,y)-\)Kirchhoff type problems with indefinite weight , CUBO, A Mathematical Journal: Vol. 26 No. 1 (2024)
<< < 14 15 16 17 18 19 20 21 > >>
You may also start an advanced similarity search for this article.
