Rostropovich was hospitalized last month with what was described as a non-life-threatening condition.
President Vladimir Putin visited Rostropovich during his stay in the hospital, leading to speculation that the musician was in serious condition.
Rostropovich's spokeswoman Natalya Dolezhal said the 79-year-old musician is now feeling well.
Rostropovich is due to celebrate his 80th birthday on March 27.
(Reuters, AFP, ITAR-TASS)
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