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We present a solution of Ulam’s stability problem for the functional equation    $$f(x\star g(y))=f(x)f(y)$$    f  (  x  ⋆  g  (  y  )  )  =  f  (  x  )  f  (  y  )with vector-valued map  f .

The Ulam Stability Problem for the Functional Equation $$f(x\star g(y))=f(x)f(y)$$