SAMPLING EXPANSION OF BANDLIMITED FUNCTIONS OF POLYNOMIAL GROWTH ON THE REAL LINE

Chang Eon Shin
2014 Communications of the Korean Mathematical Society  
For a bandlimited function with polynomial growth on the real line, we derive a nonuniform sampling expansion using a special bandlimited function which has polynomial decay on the real line. The series converges uniformly on any compact subsets of the real line.
doi:10.4134/ckms.2014.29.2.379 fatcat:kuhn2xsgxrdhrelxviiszul5ye