This is a first printing of Brown's Requiem by James Ellroy, published by Avon Books in 1981.  It is a paperback original.

From the publisher:

Beneath the slick, glittering surface of L.A., an underworld of depravity and wickedness reins. Fritz Brown is a part-time private eye and full-time repo-man who gets his kicks listening to classical music. But the waters get too deep for Brown when he takes a case from a cash-flashing golf caddy named Freddy “Fat Dog” Baker that puts him on the trail of his client’s sister and the older gentleman she’s run off with. But more suspicious than his sister, a classy cellist, is Fat Dog himself, who has a past more sordid than he lets on. Diving into a cesspool of payoffs, incest, and arson, Brown’s California dreaming transforms into a technicolor nightmare. 

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