Composition operators on Paley-Wiener type spaces

ISBN-13: 9783639663068 / Angielski / Miękka / 2014 / 88 str.

Mukherjee Saikat

Opis

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 Hilbert spaces associated with positive definite kernels. The celebrated Paley-Wiener theorem naturally identifies the spaces of bandlimited signals with spaces of entire functions of exponential type. Here we mainly focused on boundedness of composition and weighted composition operators on these spaces.

O autorze

Dr. Saikat Mukherjee holds a Ph.D. degree in mathematics from University of Wyoming. He was an assistant professor at University of Minnesota-Morris before he moved to India to join National Institute of Technology, Meghalaya as an assistant professor of mathematics. His research interests lie in functional analysis, operator theory.