Lattice point identities and Shannon-type sampling. (2019)

• Record Type: Book
• Further Information: Note: Willi Freeden, M. Zuhair Nashed.
• Authors: Freeden, W (Willi); Nashed, M. Zuhair
• Contents: Preface. About the Authors. Acknowledgment. 1.From Lattice Point to Shannon-Type Sampling Identities. 2.Obligations, Ingredients, Achievements, and Innovations. 3.Layout. 4.Euler/Poisson-Type Summation Formulas and Shannon-Type Sampling. 5.Preparatory Tools of Vector Analysis. 6.Preparatory Tools of the Theory of Special Functions. 7.Preparatory Tools of Lattice Point Theory. 8.Preparatory Tools of Fourier Analysis. 9.Euler–Green Function and Euler-Type Summation Formula. 10.Hardy–Landau-Type Lattice Point Identities (Constant Weight). 11.Hardy–Landau-Type Lattice Point Identities (General Weights). 12.Bandlimited Shannon-Type Sampling (Preparatory Results). 13.Lattice Ball Shannon-Type Sampling. 14.Gauss-Weierstrass Mean Euler-Type Summation Formulas and Shannon-Type Sampling. 15.From Gauss-Weierstrass to Ordinary Lattice Point Poisson–Type Summation. 16.Shannon-Type Sampling Based on Poisson-Type Summation Formulas. 17.Paley–Wiener Space Framework and Spline Approximation. 18.Poisson-Type Summation Formulas over Euclidean Spaces. 19.Shannon–Type Sampling Based on Poisson–Type Summation Formulas over Euclidean Spaces. 20.Trends, Progress, and Perspectives. Bibliography. Index.
• Edition: 1st
• Publisher Details: Boca Raton : Chapman & Hall/CRC
• Publication Date: 2019
• Extent: 1 online resource, illustrations (black and white)
• Subjects: 519.535; Multivariate analysis; Lattice theory
• Languages: English
• ISBNs: 9781000757743; 9781000756524; 9781000757132; 9780429355103
• Related ISBNs: 9780367375638
• Notes: Note: Description based on CIP data; resource not viewed.
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.