### Abstract

Original language | American English |
---|---|

Pages (from-to) | 483-496 |

Number of pages | 433 |

Journal | Analysis and Mathematical Physics |

DOIs | |

State | Published - 4 Mar 2019 |

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### Cite this

*Analysis and Mathematical Physics*, 483-496. https://doi.org/10.1007/s13324-018-0210-3

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*Analysis and Mathematical Physics*, pp. 483-496. https://doi.org/10.1007/s13324-018-0210-3

**On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation.** / Bory Reyes, Juan; Abreu Blaya, Ricardo; Rodríguez Dagnino, Ramón Martin; Kats, Boris Aleksandrovich.

Research output: Contribution to journal › Article

TY - JOUR

T1 - On Riemann boundary value problems for null solutions of the two dimensional Helmholtz equation

AU - Bory Reyes, Juan

AU - Abreu Blaya, Ricardo

AU - Rodríguez Dagnino, Ramón Martin

AU - Kats, Boris Aleksandrovich

PY - 2019/3/4

Y1 - 2019/3/4

N2 - © 2018, Springer International Publishing AG, part of Springer Nature. The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different classes of functions and curves, is still widely used in mathematical physics and engineering. For instance, in elasticity theory, hydro and aerodynamics, shell theory, quantum mechanics, theory of orthogonal polynomials, and so on. In this paper, we present an appropriate hyperholomorphic approach to the RBVP associated to the two dimensional Helmholtz equation in R 2 . Our analysis is based on a suitable operator calculus.

AB - © 2018, Springer International Publishing AG, part of Springer Nature. The Riemann boundary value problem (RBVP to shorten notation) in the complex plane, for different classes of functions and curves, is still widely used in mathematical physics and engineering. For instance, in elasticity theory, hydro and aerodynamics, shell theory, quantum mechanics, theory of orthogonal polynomials, and so on. In this paper, we present an appropriate hyperholomorphic approach to the RBVP associated to the two dimensional Helmholtz equation in R 2 . Our analysis is based on a suitable operator calculus.

UR - https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85063620476&origin=inward

UR - https://www.scopus.com/inward/citedby.uri?partnerID=HzOxMe3b&scp=85063620476&origin=inward

U2 - 10.1007/s13324-018-0210-3

DO - 10.1007/s13324-018-0210-3

M3 - Article

SP - 483

EP - 496

JO - Analysis and Mathematical Physics

JF - Analysis and Mathematical Physics

SN - 1664-2368

ER -