Classical piano, opera, and folk are the musical offerings this week at the Rogers Memorial Library in Southampton. On Sunday at 3 p.m., Misuzu Tanaka, a prizewinning concert pianist, will perform a program of works from the height of the Romantic period to the early 20th century, including Chopin’s Scherzo No. 4 in E major, Op. 54, Bartok’s Scherzo no. 4 in E major, and Schumann’s Sonata No. 3 in F minor, Op. 14, originally titled “Concerto sans Orchestre.” A reception for the artist will follow.