David Hyde and Alex Pothen introduce the Special Issue on Quantum Computing and survey some exciting technical developments.
Quantum algorithms can be understood through linear algebra and offer different tradeoffs than classical algorithms.
The fusion of machine learning and quantum computing has created an unprecedented avenue for innovation.
Quantum computing promises enormous computing power at low costs, marking a new chapter for financial mathematics.
It is quite difficult to fully harness the potential of quantum computers and outperform classical computers.
The High School Mathematical Contest in Modeling tasked students with two open-ended, real-world problems.
The Hackathon encouraged participants to tackle questions about worldwide energy data availability and solar resource potential.
Mark Levi draws connections between the conformal equivalence and electrical resistance of annular regions.
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2018 / viii + 115 pages / Softcover / 978-1-611975-41-3 / List $59.00 / SIAM Member $41.30 / Order Code: OT159
Keywords: singular integral, Hilbert transform, Riesz transforms, Littlewood-Paley theory, spherical harmonics
Contents Preface Index
In just over 100 pages, this book provides basic, essential knowledge of some of the tools of real analysis: the Hardy–Littlewood maximal operator, the Calderón–Zygmund theory, the Littlewood–Paley theory, interpolation of spaces and operators, and the basics of H1 and BMO spaces. This concise text offers brief proofs and exercises of various difficulties designed to challenge and engage students.
An Introduction to Singular Integrals is meant to give first-year graduate students in Fourier analysis and partial differential equations an introduction to harmonic analysis. While some background material is included in the appendices, readers should have a basic knowledge of functional analysis, some acquaintance with measure and integration theory, and familiarity with the Fourier transform in Euclidean spaces.
About the Author Jacques Peyrière is an emeritus professor of mathematics at Université Paris-Sud (Orsay). He has been head of the Equipe d'Analyse Harmonique (a CNRS team) there for 10 years. Professor Peyrière has published two books and more than 60 articles on harmonic analysis and related topics in mathematical journals, including Duke Mathematical Journal, Advances in Mathematics, and Probability Theory and Related Fields. His research interests are harmonic analysis, probability theory, and fractals.
ISBN 9781611975413