Functional analysis and transforms

This volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center.

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 book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators.

This book discusses topics on the Fourier transform, Hankel transform, Weinstein transform, and pseudo-differential operators.

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 volume presents the extended abstracts from the 2024 Summer School organized by the Ghent Analysis and PDE Center.

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).

This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner.

This monograph presents the theory of the Mellin transform and the resulting Mellin analysis in a rigorous and unified manner.

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.

This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincaré group.

This book discusses how relativistic quantum field theories must transform under strongly continuous unitary representations of the Poincaré group.

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.

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Approximation methods are vital in many challenging applications of computational science and engineering.

The theme of this symposium was operator algebras in a wide sense.

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Explains, using examples, the central role of the fundamental group in the geometry, global analysis, and topology of manifolds.

The first systematic account of the basic theory of normed algebras, without assuming associativity.

This first volume of two presents classical and modern arithmetic equivalents to the Riemann hypothesis.

This second volume of two presents analytic equivalents to the Riemann hypothesis.

Written to honour Miles Reid''s 70th birthday, this volume covers a broad range of contemporary research, both concrete and theoretical.

This work addresses this problem in the short-time Fourier transform (STFT) domain.

Single-channel hands-free teleconferencing systems are becoming popular.

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.

This book presents 20 research and survey articles from several invited speakers and other participants at IWOTA 2023 held in Helsinki in August 2023.

This book presents 20 research and survey articles from several invited speakers and other participants at IWOTA 2023 held in Helsinki in August 2023.

This book highlights the formation of holographic images using modulated apertures across eleven comprehensive chapters.

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 book highlights the formation of holographic images using modulated apertures across eleven comprehensive chapters.

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 book offers a comprehensive exploration of the Banach contraction principle and its many facets.

This book offers a comprehensive exploration of the Banach contraction principle and its many facets.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book presents a concise introduction to real and complex number systems and metric space theory.

This book is a collection of recent developments in spectral and approximation theory.

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 book is a collection of recent developments in spectral and approximation theory.