Sampling theory is an active field of research and it spans various fields from communication engineering to pure mathematics. Shannons sampling theorems provide algorithms to reconstruct the bandlimited signals from their discrete sampling. In other words, these theories provide the crucial connection between continuous and discrete representations of information that enables one to store continuous signals as discrete, digital data with minimal error. In this book we have discussed extensively the theory of composition operators on various Hilbert spaces, especially reproducing kernel...
Sampling theory is an active field of research and it spans various fields from communication engineering to pure mathematics. Shannons sampling theor...