Transmutation operators and complete systems of solutions for the radial bicomplex Vekua equation

DOI10.1016/j.jmaa.2024.128224arXiv2305.09150OpenAlexW4391848656MaRDI QIDQ6126761

Víctor A. Vicente-Benítez

Publication date: 10 April 2024

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2305.09150

zbMATH Keywords

bicomplex main Vekua equationbicomplex pseudoanalytic Bergman space

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Nonlinear higher-order PDEs (35G20)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fundamentals of bicomplex pseudoanalytic function theory: Cauchy integral formulas, negative formal powers and Schrödinger equations with complex coefficients
• Infinite-dimensional bicomplex Hilbert spaces
• Transmutations, \(L\)-bases and complete families of solutions of the stationary Schrödinger equation in the plane
• Spectral parameter power series for perturbed Bessel equations
• Hardy spaces of the conjugate Beltrami equation
• Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
• Complete families of solutions for the Dirac equation using bicomplex function theory and transmutations
• Complete systems of Beltrami fields using complex quaternions and transmutation theory
• Construction of transmutation operators and hyperbolic pseudoanalytic functions
• Bicomplex Holomorphic Functions
• Transmutations for Darboux transformed operators with applications
• Applied Pseudoanalytic Function Theory
• On a relation of pseudoanalytic function theory to the two-dimensional stationary Schrödinger equation and Taylor series in formal powers for its solutions
• Transmutations and Spectral Parameter Power Series in Eigenvalue Problems
• Transmutation operators and a new representation for solutions of perturbed Bessel equations
• Bounded extremal problems in Bergman and Bergman-Vekua spaces
• The Bergman kernel for the Vekua equation
• Transmutation operators and complete systems of solutions for the radial Schrödinger equation
• Integral Operators in the Theory of Linear Partial Differential Equations
• New applications of pseudoanalytic function theory to the Dirac equation
• On the differentiability of the solutions of linear elliptic differential equations
• Runge property and approximation by complete systems of solutions for strongly elliptic equations

This page was built for publication: Transmutation operators and complete systems of solutions for the radial bicomplex Vekua equation