I have been reading about moment problem and I have been curious about the following question.
What is the motivation for studying the Hamburger moment problem(one dimensional moment problem?
I have been asking myself out of curiosity, what is gained by people who considered this case? or let me say how can I explain my reasons to someone who has little knowledge about the subject the reasons for for studying hamburger moment problem.
I will be more than happy if useful literatures can be suggested or provided with some explanations.
Thanks for your useful suggestions and explanations.