3.6 If f(s)is an arbitrary finite real-valued function ofs d, show that ????(s, t) = f(s)f(t)...

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3.6 If f(s)is an arbitrary finite real-valued function ofs ∈ ℝd, show that ????(s, t) =

f(s)f(t) is positive semidefinite.

Hint: For coefficients a1, ..., an and sites t1, ..., tn note the identity

∑ ai aj f(ti

)f(tj

)={∑ ai f(ti

)}2 ≥ 0.

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Spatial Analysis

ISBN: 9780471632054

1st Edition

Authors: John T. Kent, Kanti V. Mardia

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