This is a rather long study, from the Oxford Studies in Ancient Documents. Its general content should be clear by the title, and it focuses on three “chunks” of the former Roman empire: Maghreb and Iberia, Gallia and Germania, and the British Isles.
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This should be relevant the most for people interested in the Romance languages, but there are bits of content about other languages too; for example the section called “North Africa and the Iberian Peninsula” has a chapter with the historical situation of the Amazigh languages, Punic and Greek, while “Gaul and the Germanies” talks quite a bit about Frankish.