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Analysis at Large - Dedicated to the Life and Work of Jean Bourgain (Hardcover, 1st ed. 2022)
Loot Price: R3,388
Discovery Miles 33 880
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Analysis at Large - Dedicated to the Life and Work of Jean Bourgain (Hardcover, 1st ed. 2022)
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Analysis at Large is dedicated to Jean Bourgain whose research has
deeply influenced the mathematics discipline, particularly in
analysis and its interconnections with other fields. In this
volume, the contributions made by renowned experts present both
research and surveys on a wide spectrum of subjects, each of which
pay tribute to a true mathematical pioneer. Examples of topics
discussed in this book include Bourgain's discretized sum-product
theorem, his work in nonlinear dispersive equations, the slicing
problem by Bourgain, harmonious sets, the joint spectral radius,
equidistribution of affine random walks, Cartan covers and doubling
Bernstein type inequalities, a weighted Prekopa-Leindler inequality
and sumsets with quasicubes, the fractal uncertainty principle for
the Walsh-Fourier transform, the continuous formulation of shallow
neural networks as Wasserstein-type gradient flows, logarithmic
quantum dynamical bounds for arithmetically defined ergodic
Schroedinger operators, polynomial equations in subgroups, trace
sets of restricted continued fraction semigroups, exponential sums,
twisted multiplicativity and moments, the ternary Goldbach problem,
as well as the multiplicative group generated by two primes in
Z/QZ. It is hoped that this volume will inspire further research in
the areas of analysis treated in this book and also provide
direction and guidance for upcoming developments in this essential
subject of mathematics.
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