Who are the service dogs?
Emotional support dogs, as you can easily guess, provide emotional support. They don't need special training to do this, nor do they need to have a diploma or be proficient in special techniques. It is possible that your dog is one too if he helps you relieve the symptoms of anxiety or depression.
This is where they differ from service dogs. Those, in turn, need to be able to do a lot of things. A lot of time and money is spent on training guide dogs, for example. They are trained for certain tasks, which some people are unable to carry out due to their peculiarities. They become so indispensable that they are considered "medical equipment" in many countries. That is why they are allowed to accompany their owner or mistress in places where ordinary animals are not allowed.
There is no way to officially 'certify' the service, but some health departments will allow you to register the service https://myserviceanimal.org/emotional-support-animal-information-and-law/ and will give you tags for your dog to wear. You can also register your service with a state or national organization, or take a public access test to show that your dog is stable, well behaved, and holds a low profile in public.