A burner for burning a gaseous fuel containing hydrogen with a gaseous oxidizer containing oxygen, having a combustion chamber in which the combustion reaction takes place during operation of the burner and having a wall structure which seals off the combustion chamber on the input end and which has multiple fuel openings through which the fuel is introduced into the combustion chamber during operation of the burner and has multiple oxidizer openings through which the oxidizer is introduced into the combustion chamber during operation of the burner.