There are no possessive pronouns in modern Persian. The common structure is to repeat the noun phrase instead of replacing it with a possessive pronoun:

نگرانیهای شما نگرانیهای من هم هست
Negarânihâ-ye shomâ negarânihâ-ye man ham hast
Your concerns are also mine
literally: Your concerns are also my concerns

Pronouns in spoken Persian

In spoken Persian, the structure مال + free personal pronouns functions as a possessive pronoun:

مال من
mâl-e man
mine
مال ما
mâl-e mâ
ours
مال تو
mâl-e to
yours (informal)
مال شما
mâl-e shomâ
yours
مال او
mâl-e u
his, hers, its
مال ایشان
mâl-e ishân
theirs; his, hers (formal)
مال آن
mâl-e ân
his, hers, its
مال آنها
mâl-e ânhâ
theirs

Examples

این سگ مال شماست؟
In sag mâl-e shomâ'st?
Is this dog yours?
مال من بزرگتر است
Mâl-e man bozorgtar ast
Mine is bigger
اینها دستکشهای توست. مال من کجاست؟
Inhâ dastkeshhâ-ye to'st. Mâl-e man kojâ'st?
These are your gloves. Where are mine?