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The sommerfeld half‐plane problem revisited I: The solution of a pair of coupled Wiener‐Hopf integral equations
Author(s) -
Heins Albert. E.,
Meister E.
Publication year - 1982
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670040106
Subject(s) - mathematics , integral equation , mathematical analysis , extension (predicate logic) , plane (geometry) , complex plane , geometry , computer science , programming language
A study and the solution of an extension of the classical Sommerfeld half‐plane problem which leads to a pair of integral equations of the Wiener‐Hopf type is given. The method of solution is function theoretic in character and employs a combination of the ideas of Wiener and Hopf and Carleman.