β Scribed by Nguyen Minh Chuong
No coin nor oath required. For personal study only.
This monograph offers a self-contained introduction to pseudodifferential operators and wavelets over real and p-adic fields.
Aimed at graduate students and researchers interested in harmonic analysis over local fields, the topics covered in this book include pseudodifferential operators of principal type and of variable order, semilinear degenerate pseudodifferential boundary value problems (BVPs), non-classical pseudodifferential BVPs, wavelets and Hardy spaces, wavelet integral operators, and wavelet solutions to Cauchy problems over the real field and the p-adic field.
Front Matter ....Pages i-xi
Pseudodifferential Operators Over the Real Field (Nguyen Minh Chuong)....Pages 1-109
Wavelets Over the Real Field (Nguyen Minh Chuong)....Pages 111-155
p-Adic Mathematical Analysis (Nguyen Minh Chuong)....Pages 157-185
Pseudodifferential Operators Over p-Adic Fields (Nguyen Minh Chuong)....Pages 187-329
Wavelets on p-Adic Fields (Nguyen Minh Chuong)....Pages 331-349
Back Matter ....Pages 351-368
Mathematics; Integral Equations; Partial Differential Equations; Real Functions; Operator Theory; Integral Transforms, Operational Calculus; Fourier Analysis
π SIMILAR VOLUMES
<p>I have tried in this book to describe those aspects of pseudodifferential and Fourier integral operator theory whose usefulness seems proven and which, from the viewpoint of organization and "presentability," appear to have stabilized. Since, in my opinion, the main justification for studying the
Providence 1985. Volume 43, Proceedings of Symposia in Pure Mathematics, American Mathematical Society. Sm.4to., 300pp., original gilt printed maroon hardcover. Fine. As new
This book is, on the one hand, a pedagogical introduction to the formalism of slopes, of semi-stability and of related concepts in the simplest possible context. It is therefore accessible to any graduate student with a basic knowledge in algebraic geometry and algebraic groups. On the other hand, t
Provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. Written for a wide audience of mathematicians, be they interested students or researchers. Softcover.
Provides an introduction to the theory of pseudodifferential operators and Fourier integral operators from the very basics. Written for a wide audience of mathematicians, be they interested students or researchers. Softcover.