Metaharmonic lattice point theory

• Main Author: Freeden, W.
• Format: eBook
• Language: English
• Published: Boca Raton, Fla. : Chapman and Hall/CRC, 2011.
• Series: Monographs and textbooks in pure and applied mathematics.
• Subjects: Lattice theory.; elektronické knihy; electronic books
• ISBN: 9781439861851
• Physical Description: xxiv, 448 p. : ill.

Table of Contents:

• 1. Introduction
• 2. Basic notation
• 3. One-dimensional auxiliary material
• 4. One-dimensional euler and poisson summation formulas
• 5. Preparatory tools of analytic theory of numbers
• 6. Preparatory tools of mathematical physics
• 7. Preparatory tools of Fourier analysis
• 8. Lattice function for the iterated Helmholtz operator
• 9. Euler summation on regular regions
• 10. Lattice point summation
• 11. Lattice ball summation
• 12. Poisson summation on regular regions
• 13. Poisson summation on planar regular regions
• 14. Planar distribution of lattice points
• 15. Conclusions.