The Zak Transform ( s )
نویسندگان
چکیده
We introduce the operator Z that is often called the Zak transform. Our definition is a bit different from the one that usually appears in the literature. We will discuss this difference and will also give a historical account that the reader may find particularly interesting. In order to do this, however, we need to present our treatment of the operator Z (and Z̃) which shows that the Fourier transform and its inverse are unitary as an immediate consequence of the basic properties of Fourier series. The operator Z maps each f ∈ L2(R) into the function
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