Regular variation in 𝑅^{𝑘}
Mark M. Meerschaert · Proceedings of the American Mathematical Society · 1988
Researchers investigating certain limit theorems in probability have discovered a multivariable analogue to Karamata’s theory of regularly varying functions. The method uses elements of real analysis and Lie groups to analyze the asymptotic behavior of functions and measures on R k {{\mathbf {R}}^k} . We present an account here which is independent of probabilistic considerations.