Wiktionary
n. 1 The practice of recording a broadcast with the intention of watching or listening to it later at a more convenient time. 2 The practice of network affiliates from different time zones of making television programs/programmes available at multiple times during the day.
Wikipedia
In broadcasting, time shifting is the recording of programming to a storage medium to be viewed or listened to after the live broadcasting. Typically, this refers to TV programming but can also refer to radio shows via podcasts.
In recent years, the advent of the digital video recorder (DVR) has made time shifting easier, by using an electronic program guide (EPG) and recording shows onto a hard disk. Some DVRs have other possible time shifting methods, such as being able to start watching the recorded show from the beginning even if the recording is not yet complete. In the past, time shifting was done with a video cassette recorder (VCR) and its timer function, in which the VCR tunes into the appropriate station and records the show onto video tape.
Certain broadcasters transmit timeshifted versions of their channels, usually one hour in the future, to enable those without recording abilities to resolve conflicts and those with recording abilities more flexibility in scheduling conflicting recordings. (See timeshift channel.)