By Richard Wilson (1920-87).
First appearance: Astonishing Stories, April 1940.
Reprinted in The 23rd Golden Age of Science Fiction Megapack (2015).
Short story (10 pages).
Online at Archive.org (HERE).
(Note: Text is very faded, so you'll likely need the "Zoom In" function.)
"Ray Carver, vacationing top-notch Earth detective, looks for the first interplanetary killer and finds a wife."
Carver and his manservant Murphy make nabbing a vanishing murderer look easy, but The Green Hornet and Kato they ain't.
Typo: "Its not a receiving set"
Resources:- You can find a lot of info about Richard Wilson (HERE), (HERE), (HERE), and (HERE).
- Project Gutenberg has a few of Wilson's stories online (HERE).
- The author describes the Barsoom's captain as having a "Menjou mustache"; see (HERE) for a collection of images of that actor and you'll get the idea.