Lake Placid, New York hosted the Winter Olympics in 1932 and in 1980.
No, Austria has not hosted the Summer Olympics, although they have hosted the Winter Games twice; in 1964 and 1976.
Canada has hosted the Winter Olympics twice, in Calgary and Vancouver, in 1988 and 2010 respectively. It has hosted the Summer Olympics once in the 1976 Montreal games.
Norway has hosted the Winter Olympics twice: Oslo in 1952 and Lillehammer in 1994.
Switzerland has never hosted the Summer Olympics. It has hosted the Winter Olympics twice, in 1928 and 1948. In both cases it was hosted in St. Moritz.
Los Angeles hosted the Summer Games twice (1932, 1984) and Lake Placid hosted the Winter Games twice (1932, 1980).
Yes. The winter games have been held twice in Innsbruck (1964 and 1976)
The United States has hosted the Winter Olympics four times but one city has hosted it twice: 1932 and 1980 - Lake Placid, NY 1960 - Squaw Valley, CA 2002 - Salt Lake City, UT