My first approach was to hit a couple reference works and see where they pointed. So I looked at the New Dictionary of Liturgy and Worship and the Oxford History of Christian Worship. They both had articles/pages that addressed this topic briefly but pointed to:
Bacchiocchi, Samuele. 1977. From Sabbath to Sunday : A Historical Investigation of the Rise of Sunday Observance in Early Christianity. Rome: Pontifical Gregorian University Press.
https://luthersem.on.worldcat.org/oclc/444954220?databaseList=2013,638
and
Rordorf, Willy. 1968. Sunday : The History of the Day of Rest and Worship in the Earliest Centuries of the Christian Church. Philadelphia: Westminster Press.
https://luthersem.on.worldcat.org/oclc/439191?databaseList=2013,638
and
Porter, Harry Boone. 1960. The Day of Light: The Biblical and Liturgical Meaning of Sunday. Studies in ministry and worship; Studies in ministry and worship. Greenwich, Conn.: Seabury Press.
https://luthersem.on.worldcat.org/oclc/3041463?databaseList=2013,638
