The Journal of the Indian Mathematical Society

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Functional Equations and Linear Transformations I (Solvability on Lp Spaces)


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1 Makerere University, P. O. Box 7062, Kampala, Uganda
     

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Let A = A(X) be a space of functions defined on a set X. A transformation W on A which is linear, in the purely algebraic sense, and has the property that the values of the transform Wf of an element f ∈ A at a point x ∈ X depends solely on the value of f at some other point x' ∈ X is given by the formula (Wf)(x) = Q(x)f(V(x)).
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  • Functional Equations and Linear Transformations I (Solvability on Lp Spaces)

Abstract Views: 221  |  PDF Views: 2

Authors

B. P. Duggal
Makerere University, P. O. Box 7062, Kampala, Uganda

Abstract


Let A = A(X) be a space of functions defined on a set X. A transformation W on A which is linear, in the purely algebraic sense, and has the property that the values of the transform Wf of an element f ∈ A at a point x ∈ X depends solely on the value of f at some other point x' ∈ X is given by the formula (Wf)(x) = Q(x)f(V(x)).