The García García, Antonio. creator author. aut http://id.loc.gov/vocabulary/relators/aut SpringerLink (Online service) text sz 2024 1st ed. 2024. monographic eng

electronic

electronic resource

access XVI, 302 p. 14 illus., 12 illus. in color. online resource. This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kramer sampling theory, and finite sampling or sampling Hilbert–Schmidt operators. In addition, the transversality of sampling theory with other mathematical fields appears, in an easy way. The first three chapters of the book can be used as an introduction to sampling theory, while the rest of the chapters are addressed to introduce the interested reader in the research on the topic. - What does sampling theory mean? -- Basic sampling theory -- Sampling in shift-invariant subspaces -- A review on Kramer sampling theorem -- A generalized sampling theory -- Finite frames related to sampling in finite-dimensional U-invariant subspaces -- Sampling in shift-invariant-like subspaces of Hilbert-Schmidt operators. by Antonio García García. Mathematical analysis Analysis QA299.6-433 9783031632426 https://doi.org/10.1007/978-3-031-63242-6 https://doi.org/10.1007/978-3-031-63242-6 240726 20251030112652.0 978-3-031-63242-6