Distributional and operational integral homogeneity over local fields

On singular integrals, multipliers, $$\mathfrak{H}^1 $$ and fourier series — a local field phenomenon

“…Referring to the proof of (3.3) of [16], we see that T=a is a convolution of functions : [19] and later used by Liu [15]. Proof By results in I-4], it suffices to prove that T m maps (p, oo)-atoms into ~v.…”

“…We approach F through integral homogeneity, as in [16]. The gamma function for K relates additive and multiplicative characters and Fourier transforms.…”