Paramedics found the body of David Fuller, 41, of no fixed abode, inside a derelict building on Chatsworth Road on Tuesday night.
A Chesterfield coroners' court official revealed Mr Fuller's name to the Derbyshire Times and said: "An investigation to establish the cause of his death started this afternoon."
Police are also investigating the circumstances surrounding his death.
A Derbyshire Constabulary spokesman added: "It's too early to say whether or not we're treating this as suspicious.
"Anyone with information should call us on 101, quoting reference 17000563474."
Residents have told of their shock and sadness at the news and offered their condolences to Mr Fuller's loved ones.
They added that the property where he was found has been derelict for a number of years.
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