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Is phase-shifting in continuous-time analogous to the rotate-left (ROL) and rotate-right (ROR) operations in discrete-time?

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    $\begingroup$ When a signal is delayed or advanced in time, the result is a phase shift in the Frequency domain. That's true for both continuous time and also for discrete time systems. Note that for practical processing of discrete time signals the shifts are circular, that the relations must be interpreted that way when a shift is involved in respecive variables. $\endgroup$ – Fat32 May 26 '16 at 12:33
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If you mean phase shift of a sinusoid, then yes, a phase shift is equivalent to a translation.

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