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The recent precise measurements of the $e^+e^-\to K_SK_L$ and $e^+e^-\toK^+K^-$ cross sections and the hadronic spectral function of the $\tau^-\toK^-K_S\nu_\tau$ decay are used to extract the isoscalar and isovectorelectromagnetic kaon form factors and their relative phase in a modelindependent way. The experimental results are compared with a fit based on thevector-meson-dominance model.

Isoscalar and isovector kaon form factors from $e^+e^-$ and $\tau$ data