Fourier analysis on polytopes and the geometry of numbers. Part I, a friendly introduction /

Fourier analysis.

Polytopes.

Geometry of numbers.

Geometry > Real and complex geometry > Polyhedra and polytopes; regular figures, division of spaces.

Number theory > Additive number theory; partitions > Lattice points in specified regions.

Several complex variables and analytic spaces > Holomorphic functions of several complex variables > Harmonic analysis of several complex variables.

Number theory > Geometry of numbers > Lattices and convex bodies.

Number theory > Geometry of numbers > Nonconvex bodies.

Number theory > Geometry of numbers > Lattice packing and covering.

Convex and discrete geometry > Polytopes and polyhedra > Lattice polytopes (including relations with commutative algebra and algebraic geometry).

Electronic books.