Several...within walking distance which is great since parking is a challenge. I recommend checking out open table or yelp for reviews of restaurants that are close by SF Jazz. It's been a while since I've walked the area but the neighborhood is lively and there are so many options for dining.
There's an eatery in the center itself but I believe you need reservations as it's always full. Withing walking distance, there are several eateries to check out.
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