Go to the Logitech site and search for the compatibility link. There you can enter the device name and type to find out if it is supported. If it is, you can expect it to fully duplicate your existing remote.
I had the same situation as I just received a Sonos system for a Christmas gift. The Logitech site will tell you that Sonos is not compatible with the H1.
Therefore the only thing you can do with the H1 is create a manual "utility" activity and just include your AV receiver as the only device. This is what I did and used the CD input on my AV receiver which was connected to the ZP 90 by an optical cable. You will be able to turn on your receiver with the H1 and control the volume in this manner. All of the other commands have to come from your Sonos remote.
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