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On a Distributional Equation in Information Theory
Author(s) -
Deeba Elias,
Koh E. L.,
Xie Shishen
Publication year - 1994
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.19941690109
Subject(s) - mathematics , functional equation , function (biology) , distribution (mathematics) , distribution function , mathematical analysis , partial differential equation , physics , quantum mechanics , evolutionary biology , biology
In this paper the functional equation will be reformulated in distributions. Operators in appropriate function spaces will be introduced to mirror functional operations. Then a solution will be given for the equation in distributions. Finally it is pointed out that for regular distributions the distributional solution reduces to the classical one.