Positive Definite Function

A positive definite function on a group is a function for which the matrix ${f(x_ix_j^(-1))}$ is always positive semidefinite Hermitian.

Explore with Wolfram|Alpha

More things to try:

References

Knapp, A. W. "Group Representations and Harmonic Analysis, Part II." Not. Amer. Math. Soc. 43, 537-549, 1996.

Referenced on Wolfram|Alpha

Positive Definite Function

Cite this as:

Weisstein, Eric W. "Positive Definite Function." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/PositiveDefiniteFunction.html

Subject classifications