The algebra of analytic functionals on the closed unit polydisk 𝑫𝟏 ̅̅̅̅ in ℂ𝑵 is studied. The Hadamard type operators are characterized in the space 𝑯(𝑫𝟏 ̅̅̅̅) of all germs of holomorphic on 𝑫𝟏 ̅̅̅̅ functions. We obtain the representation of mentioned algebra in 𝑯(𝑫𝟏 ̅̅̅̅) as the Hadamard type operators algebra. The multiplicative functionals on it, its Jacobson radical and idempotents are described.