TY  - BOOK
AU  - Robins, Sinai
TI  - Fourier analysis on polytopes and the geometry of numbers, part I: a friendly introduction
T2  - Student mathematical library,
SN  - 9789349750517
U1  - 514.113.5 
PY  - 2025///
CY  - India
PB  - Universities Press
KW  - Fourier analysis
KW  - Polytopes
KW  - Geometry of numbers
KW  - Geometry
KW  - Real and complex geometry
KW  - Polyhedra and polytopes
KW  - Number theory
KW  - Additive number theory
KW  - Convex and discrete geometry
KW  - Polytopes and polyhedra
KW  - Lattice packing and covering
N1  - Includes bibliographical references and index; Readership: Undergraduate and graduate students and researchers interested in analysis and periodical structures
N2  - This book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is fitted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class.

Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field
UR  - https://www.ams.org/bookstore/pspdf/stml-107-toc.pdf?_gl=1*1wjl8xi*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxMzQyNjMkajU0JGwwJGgw
UR  - https://www.goodreads.com/book/show/212388943-fourier-analysis-on-polytopes-and-the-geometry-of-numbers?ref=nav_sb_ss_1_13#CommunityReviews
ER  -