As future generation information technology (FGIT) becomes specialized and fr- mented, it is easy to lose sight that many topics in FGIT have common threads and, because of this, advances in one discipline may be transmitted to others.
This monograph presents state-of-the-art results at the intersection of Harmonic Analysis, Functional Analysis, Geometric Measure Theory, and Partial Differential Equations, providing tools for treating elliptic boundary value problems for systems of PDE’s in rough domains.
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis.
This exposition introduces new developments of pseudo-differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields.
Over the course of his distinguished career, Edward Saff has made a number of groundbreaking contributions in the fields of approximation theory, potential theory, and complex analysis.
This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America).
This exposition introduces new developments of pseudo-differential operators on manifolds with singularities such as conical points, edges, or higher corners, and recent results in these fields.
This book is the third in a series of books dedicated to publishing extended abstracts of the activities of ICMAM Latin America (International Community of Mathematicians from Latin America).
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2.
Developed from a course taught to senior undergraduates, this book provides a unified introduction to Fourier analysis and special functions based on the Sturm-Liouville theory in L2.
Based on presentations given at the NordForsk Network Closing Conference "e;Operator Algebra and Dynamics,"e; held in Gjaargar ur, Faroe Islands, in May 2012, this book features high quality research contributions and review articles by researchers associated with the NordForsk network and leading experts that explore the fundamental role of operator algebras and dynamical systems in mathematics with possible applications to physics, engineering and computer science.
Two basic problems of representation theory are to classify irreducible representations and decompose representations occuring naturally in some other context.
This book contains a series of research papers on subjects related to the work of Niels Henrik Abel, written by some of the foremost specialists in their fields.
The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.
The present volume collects extended abstracts of lectures and talks presented at the Summer School and Conference "e;Analysis, PDEs and Applications"e; held 24 June - 6 July 2024 at Yerevan State University, Armenia.
This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations.
This new edition presents an updated and expanded exploration of boundary value problems for fractional dynamic equations on arbitrary time scales, including Caputo fractional dynamic equations, impulsive Caputo fractional dynamic equations, and impulsive Riemann-Liouville fractional dynamic equations.
The book presents a deterministic homogenization theory intended for the mathematical analysis of non-stochastic multiscale problems, both within and beyond the periodic setting.
