Generally speaking the Swedish literature about the war in the above mentioned areas is very limited. The operations of the Courland army under the command of Adam Ludvig Lewenhaupt is described in some depth by Hugo Uddgren (1876-1955) in his two volume biography of the General (Karolinen Adam Ludvig Lewenhaupt), published in 1919 and 1950. Uddgren was among the first Swedish researchers to use the archives in Riga and he is possibly the only one to have used the archive of the Dukes of Courland (at that time in Saint Petersburg), which also contains the records of the Swedish administration between 1701 and 1709.
The Livonian theatre of war is partially covered by a couple of short works by Otto Sjögren, who was involved in arranging the large Schlippenbach collection in Riksarkivet.
Count Carl von Rosen's Bidrag till kännedom om de händelser om de händelser..., vol II (1936) covers the entire area, but only until 1704. On the other end is Fredrik Arfwidsson's dissertation Försvaret af Östersjöprovinserna 1708-1710 (1936), which he much later supplemented by a few articles in Karolinska Förbundets Årsbok.
Worth mentioning is also the Finnish historian Eirik Hornborg's biography of Carl Gustaf Armfeldt (Karolinen Armfelt och kampen om Finland under stora nordiska kriget), which appeared in 1952.
This handful of works have until today pretty much dominated the field, so whenever modern Swedish historians write about the GNW in the Baltic provinces it's often easy to recognize their sources. Often the interpretations are very similar as well and heavily influenced by v. Rosen.