This style is not exactly my wheelhouse but what I see and hear is that even though the second half of the bar contains notes of an F7 chord (dominant not major 7, note the Eb), the low Gb is the harmonic base. A few versions I heard make use of the sustain pedal which keeps the Gb as the lowest note throughout the bar.
This makes it a Gb diminished chord more than an F7. You have Gb, A, C, Eb on the page which in enharmonically correct terms for analysis would be Gb, Bbb, Dbb. The F natural (maj7 of Gb) is a commonly used non-chord tone on diminished chords.
That basically gives you Gb 2 beats, Gbdim 2 beats then Gb in the next bar, which is similar to the first bar two octaves higher.