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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...

Content in numerous data sources are not directly amenable to machine processing. This book describes techniques for automated semantic analysis of schematic content which are characterized by being populated from backend databases. Starting with a seed set of hand-labeled instances of semantic concepts in a set of HTML documents, a technique is devised that bootstraps an annotation process for automatic identification of concept instances present in other documents. The technique exploits the observation that semantically related items in schematic HTML documents exhibit consistency in...