Willi Freeden is the head of the Geomathematics Group in the Department of Mathematics at the University of Kaiserslautern, where he has been vice president for research and technology. Dr. Freeden is also editor-in-chief of the International Journal on Geomathematics. His research interests include special functions of mathematical geophysics, partial differential equations, constructive approximation, numerical methods and scientific computing, and inverse problems in geophysics, geodesy, and satellite technology.

• Introduction. Basic Notation. One-Dimensional Auxiliary Material. One-Dimensional Euler and Poisson Summation Formulas. Preparatory Tools of Analytic Theory of Numbers. Preparatory Tools of Mathematical Physics. Preparatory Tools of Fourier Analysis. Lattice Function for the Iterated Helmholtz Operator. Euler Summation on Regular Regions. Lattice Point Summation. Lattice Ball Summation. Poisson Summation on Regular Regions. Poisson Summation on Planar Regular Regions. Planar Distribution of Lattice Points. Conclusions. Bibliography. Index.

Willi Freeden is the head of the Geomathematics Group in the Department of Mathematics at the University of Kaiserslautern, where he has been vice president for research and technology. Dr. Freeden is also editor-in-chief of the International Journal on Geomathematics. His research interests include special functions of mathematical geophysics, partial differential equations, constructive approximation, numerical methods and scientific computing, and inverse problems in geophysics, geodesy, and satellite technology.

• Introduction. Basic Notation. One-Dimensional Auxiliary Material. One-Dimensional Euler and Poisson Summation Formulas. Preparatory Tools of Analytic Theory of Numbers. Preparatory Tools of Mathematical Physics. Preparatory Tools of Fourier Analysis. Lattice Function for the Iterated Helmholtz Operator. Euler Summation on Regular Regions. Lattice Point Summation. Lattice Ball Summation. Poisson Summation on Regular Regions. Poisson Summation on Planar Regular Regions. Planar Distribution of Lattice Points. Conclusions. Bibliography. Index.

Willi Freeden is the head of the Geomathematics Group in the Department of Mathematics at the University of Kaiserslautern, where he has been vice president for research and technology. Dr. Freeden is also editor-in-chief of the International Journal on Geomathematics. His research interests include special functions of mathematical geophysics, partial differential equations, constructive approximation, numerical methods and scientific computing, and inverse problems in geophysics, geodesy, and satellite technology.

• Introduction. Basic Notation. One-Dimensional Auxiliary Material. One-Dimensional Euler and Poisson Summation Formulas. Preparatory Tools of Analytic Theory of Numbers. Preparatory Tools of Mathematical Physics. Preparatory Tools of Fourier Analysis. Lattice Function for the Iterated Helmholtz Operator. Euler Summation on Regular Regions. Lattice Point Summation. Lattice Ball Summation. Poisson Summation on Regular Regions. Poisson Summation on Planar Regular Regions. Planar Distribution of Lattice Points. Conclusions. Bibliography. Index.