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-dimensional Fourier Transform

Chapter 8. n -dimensional Fourier Transform Space, the Final Frontier To quote Ron Bracewell from p. 119 of his book Two -dimensional Imaging, In two dimensions phenomena are richer than in one dimension. True enough, working in two dimensions offers many new and rich possibilities. Contemporary applications of the Fourier Transform are just as likely to come from problems in two, three, and even higher dimensions as they are in one imaging is one obvious and important example. To capitalize on the work we've already done, however, as well as to highlight differences between the one- dimensional case and higher dimensions, we want to mimic the one -dimensional setting and arguments as much as possible. It is a measure of the naturalness of the fundamental concepts that the extension to higher dimensions of the basic ideas and the mathematical definitions that we've used so far proceeds almost automatically.

n-dimensional Fourier Transform 8.1 Space, the Final Frontier To quote Ron Bracewell from p. 119 of his book Two-Dimensional Imaging, “In two dimensions phenomena are richer than in one dimension.” True enough, working in two dimensions offers many new and rich possibilities.

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