CREATE TABLE table_41582 ("Name" TEXT, "Japanese" TEXT, "Date of designation" TEXT, "Date of reclassification" TEXT, "Region" TEXT, "Prefecture" TEXT)

WHose Name has a Region of kansai on 2012-04-01 ( core city )?
SELECT "Name" FROM table_41582 WHERE "Region" = 'kansai' AND "Date of reclassification" = '2012-04-01 ( core city )'
SELECT "Name" FROM "table_41582" WHERE "Date of reclassification" = '2012-04-01 ( core city )' AND "Region" = 'kansai'