The article focuses on the discovery of Kernel function and Associated Minimum Problems by Polish mathematician and engineer Stanislaw Zaremba in 1907. Topics discussed include why the discovery is an epoch; opinion that the fate of the discovery was rather inadequate to its weight; and discussion on Zaremba's theory of analytic functions of complex variables, complex analysis, partial differential equations, approximation, operator theory, system theory, inverse problems, sampling theory, time-frequency analysis and probability theory.