Yes, I don't know if the term in English is correct, but in Spanish we call those "pedal notes", you hold the bass note for the duration that it's marked, generally it lasts during a small group of notes. The purpose of writing it down, I believe, is to make it clear that one should just hold the bass note instead of using a pedal?. Anyways, think of it as two voices, the bass (the half notes) and the quavers.