Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is ll known that exponential Riesz bases are stable. The celebrated theorem by Kadec shows that 1/4 is a#R##N##R##N#stability bound for the exponential basis on L2(-p,p).   prove that a/p (where a is the Lamb-#R##N##R##N#Oseen constant) is a stability bound for the sinc basis on L2(-p,p). The difference beten the two values#R##N##R##N#a/p - 1/4, is E 0.15, therefore the stability bound for the sinc basis on L2(-p,p) is greater than Kadecâs#R##N##R##N#stability bound (i.e. 1/4).
['Antonio Avantaggiati', 'Paola Loreti', 'Pierluigi Vellucci']
I am writing a research paper on a idea An Explicit Bound for Stability of Sinc Bases
[{"from": "human", "value": "I am writing a research paper on a idea An Explicit Bound for Stability of Sinc Bases"}, {"from": "gpt", "value": "Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: It is ll known that exponential Riesz bases are stable. The celebrated theorem by Kadec shows that 1/4 is a#R##N##R##N#stability bound for the exponential basis on L2(-p,p).   prove that a/p (where a is the Lamb-#R##N##R##N#Oseen constant) is a stability bound for the sinc basis on L2(-p,p). The difference beten the two values#R##N##R##N#a/p - 1/4, is E\u009c 0.15, therefore the stability bound for the sinc basis on L2(-p,p) is greater than Kadec\u00e2\u0080\u0099s#R##N##R##N#stability bound (i.e. 1/4)."}]