Description
Book SynopsisIntroduces the reader to methodologies in recovery problems for objects, such as functions and signals, from partial or indirect information. By avoiding extreme technicalities and elaborate proof techniques, this is an accessible resource for students and researchers.
Table of Contents
- Introductory remarks: Constituents of the univariate antenna problem
- Regularization tools: Functional and Fourier analytic auxiliaries
- Regularization methodologies: Matricial methodologies of resolution
- Compact operator methodologies of resolution
- Example realizations light: Univariate differentiation
- Reconstruction and regularization methods
- Regularization examples: Regularization methodologies in geotechnology
- Sampling tools: Lattice point and special function theoretic auxiliaries
- Sampling methodologies: Sampling over continuously connected pointsets
- Sampling over discretely given pointsets
- Polyharmonic finite bandwidth sampling
- Polyharmonic infinite bandwidth sampling
- Polymetaharmonic finite bandwidth sampling
- Polymetaharmonic infinite bandwidth sampling
- Sampling examples: Sampling methodologies in technology
- Concluding remarks: Recovery as interconnecting whole
- List of symbols
- Bibliography
- Index
