Jarcek
I do not understand one thing, why did it continue issue coinage with HRE emperors? N#266438
"The city had obtained from the German emperor a limited right to strike coins as early as in the beginning of the 14th century; this is why the coins carry the name of the emperor and his symbols, the eagle or the orb, far into the period of Swedish suzerainty. The city's heraldic symbol, the arrow-head (often called "Strahl", i.e. ray), is represented on every denomination, but nothing indicating the Swedish authority can be found."
"The city's own coinage between the years 1638-1708 and in 1763 is listed below. Coins which were minted after the city's capture in 1637 cannot be distinguished from those minted earlier the same year and have therefore not been included. The coins are arranged under the names of the Swedish rulers, who de facto governed the city, though they are struck in the name of the emperor and/or that of Stralsund.
Under the heading POMMERN/POMERANIA above (pp. 99-106) is listed the coinage which took place in Stralsund for the account of the duchy in 1715 and 1758-1808."
The explanation as it is found in Sveriges Besittningsmynt - Die Münzen der Schwedischen Besitzungen - Coins of the Swedish Posessions – Numista. Many Swedish possessions are minted in the name of their city, so this isn't really special or odd. Most do have some reference to the Swedish monarch, but these from Stralsund doesn't. Wismar also does not mention the Swedish monarch in their coinage; but they are indisputably a Swedish possession.
Examples of such: 3 Pfennigs - Gustav IV Adolph - City of Wismar – Numista
EDIT:
Further explanation, for why Wismar doesn't have any Swedish symbolism either:
“The Mint came into the possession of the city in the middle of the 14th century, having earlier belonged to the dukes of Mecklenburg. The magistrate jealously guarded the city's coining privileges (as in Stralsund); the symbol and/or the name of the German emperor, the formal head of state, is found on most coins before and during the Swedish suzerainty, as well as the coat-of-arms of Wismar. Its patron, St. Laurentius with his gridiron (on which he was tortured to death), can be seen on some of the coins. When a gulden with the portrait of Charles XI of Sweden was struck in 1684 (No. 27 below), the city succeeded in withdrawing most of the emmission from circulation, regarding the royal image as an intrusion upon its rights.”