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Recent Progress In Fourier Analysis


Recent Progress In Fourier Analysis
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Recent Developments In Harmonic Analysis And Its Applications


Recent Developments In Harmonic Analysis And Its Applications
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Author : Shaoming Guo
language : en
Publisher: American Mathematical Society
Release Date : 2024-01-24

Recent Developments In Harmonic Analysis And Its Applications written by Shaoming Guo and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-24 with Mathematics categories.


This volume contains the proceedings of the virtual AMS Special Session on Harmonic Analysis, held from March 26–27, 2022. Harmonic analysis has gone through rapid developments in the past decade. New tools, including multilinear Kakeya inequalities, broad-narrow analysis, polynomial methods, decoupling inequalities, and refined Strichartz inequalities, are playing a crucial role in resolving problems that were previously considered out of reach. A large number of important works in connection with geometric measure theory, analytic number theory, partial differential equations, several complex variables, etc., have appeared in the last few years. This book collects some examples of this work.



Recent Progress In Function Theory And Operator Theory


Recent Progress In Function Theory And Operator Theory
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Author : Alberto A. Condori
language : en
Publisher: American Mathematical Society
Release Date : 2024-04-30

Recent Progress In Function Theory And Operator Theory written by Alberto A. Condori and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-04-30 with Mathematics categories.


This volume contains the proceedings of the AMS Special Session on Recent Progress in Function Theory and Operator Theory, held virtually on April 6, 2022. Function theory is a classical subject that examines the properties of individual elements in a function space, while operator theory usually deals with concrete operators acting on such spaces or other structured collections of functions. These topics occupy a central position in analysis, with important connections to partial differential equations, spectral theory, approximation theory, and several complex variables. With the aid of certain canonical representations or “models”, the study of general operators can often be reduced to that of the operator of multiplication by one or several independent variables, acting on spaces of analytic functions or compressions of this operator to co-invariant subspaces. In this way, a detailed understanding of operators becomes connected with natural questions concerning analytic functions, such as zero sets, constructions of functions constrained by norms or interpolation, multiplicative structures granted by factorizations in spaces of analytic functions, and so forth. In many cases, non-obvious problems initially motivated by operator-theoretic considerations turn out to be interesting on their own, leading to unexpected challenges in function theory. The research papers in this volume deal with the interplay between function theory and operator theory and the way in which they influence each other.



Recent Developments In Fractals And Related Fields


Recent Developments In Fractals And Related Fields
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Author : Julien Barral
language : en
Publisher: Springer Nature
Release Date : 2025-04-18

Recent Developments In Fractals And Related Fields written by Julien Barral and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-04-18 with Mathematics categories.


This volume provides readers with an overview of the most recent developments in the mathematical fields related to fractals. It includes both original research contributions, as well as surveys from many of the leading experts on modern fractal geometry theory and applications. The contributions contained in the book stem from the conference “Fractals and Related Fields IV", that was held in 2022 on the Island of Porquerolles, France. Various aspects of fractal geometry in connection with harmonic analysis, geometric measure theory, ergodic theory and dynamical systems, probability theory, number theory, functional analysis, additive combinatorics, embedding theory, and signal and image processing are addressed within its pages. We hope that the book will be interesting for pure and applied mathematicians in these areas, as well as for other researchers curious to discover more about fractals.



Recent Developments In Real And Harmonic Analysis


Recent Developments In Real And Harmonic Analysis
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Author : Carlos Cabrelli
language : en
Publisher: Springer Science & Business Media
Release Date : 2010-03-10

Recent Developments In Real And Harmonic Analysis written by Carlos Cabrelli and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-03-10 with Mathematics categories.


A collection of invited chapters dedicated to Carlos Segovia, this unified and self-contained volume examines recent developments in real and harmonic analysis. The work begins with a chronological description of Segovia’s mathematical life, highlighting his original ideas and their evolution. Also included are surveys dealing with Carlos’ favorite topics, and PDE works written by students and colleagues close to Segovia whose careers were in some way influenced by him. Contributors: H. Aimar, A. Bonami, O. Blasco, L.A. Caffarelli, S. Chanillo, J. Feuto, L. Forzani, C.E. Gutíerrez, E. Harboure, A.L. Karakhanyan, C.E. Kenig, R.A. Macías, J.J. Manfredi, F.J. Martín-Reyes, P. Ortega, R. Scotto, A. de la Torre, J.L. Torrea.



Recent Progress In Operator Theory


Recent Progress In Operator Theory
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Author : Israel C. Gohberg
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Recent Progress In Operator Theory written by Israel C. Gohberg and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This and the previous volume of the OT series contain the proceedings of the Workshop on Operator Theory and its Applications, IWOTA 95, which was held at the University of Regensburg, Germany, July 31 to August 4, 1995. It was the eigth workshop of this kind. Following is a list of the seven previous workshops with reference to their proceedings: 1981 Operator Theory (Santa Monica, California, USA) 1983 Applications of Linear Operator Theory to Systems and Networks (Rehovot, Israel), OT 12 1985 Operator Theory and its Applications (Amsterdam, The Netherlands), OT 19 1987 Operator Theory and Functional Analysis (Mesa, Arizona, USA), OT 35 1989 Matrix and Operator Theory (Rotterdam, The Netherlands), OT 50 1991 Operator Theory and Complex Analysis (Sapporo, Japan), OT 59 1993 Operator Theory and Boundary Eigenvalue Problems (Vienna, Austria), OT 80 IWOTA 95 offered a rich programme on a wide range of latest developments in operator theory and its applications. The programme consisted of 6 invited plenary lectures, 54 invited special topic lectures and more than 100 invited session talks. About 180 participants from 25 countries attended the workshop, more than a third came from Eastern Europe. The conference covered different aspects of linear and nonlinear spectral prob lems, starting with problems for abstract operators up to spectral theory of ordi nary and partial differential operators, pseudodifferential operators, and integral operators. The workshop was also focussed on operator theory in spaces with indefinite metric, operator functions, interpolation and extension problems.



Recent Advances In Harmonic Analysis And Applications


Recent Advances In Harmonic Analysis And Applications
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Author : Dmitriy Bilyk
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-10-16

Recent Advances In Harmonic Analysis And Applications written by Dmitriy Bilyk and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-10-16 with Mathematics categories.


Recent Advances in Harmonic Analysis and Applications features selected contributions from the AMS conference which took place at Georgia Southern University, Statesboro in 2011 in honor of Professor Konstantin Oskolkov's 65th birthday. The contributions are based on two special sessions, namely "Harmonic Analysis and Applications" and "Sparse Data Representations and Applications." Topics covered range from Banach space geometry to classical harmonic analysis and partial differential equations. Survey and expository articles by leading experts in their corresponding fields are included, and the volume also features selected high quality papers exploring new results and trends in Muckenhoupt-Sawyer theory, orthogonal polynomials, trigonometric series, approximation theory, Bellman functions and applications in differential equations. Graduate students and researchers in analysis will be particularly interested in the articles which emphasize remarkable connections between analysis and analytic number theory. The readers will learn about recent mathematical developments and directions for future work in the unexpected and surprising interaction between abstract problems in additive number theory and experimentally discovered optical phenomena in physics. This book will be useful for number theorists, harmonic analysts, algorithmists in multi-dimensional signal processing and experts in physics and partial differential equations.



Recent Advances In Matrix And Operator Theory


Recent Advances In Matrix And Operator Theory
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Author : Joseph A. Ball
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-22

Recent Advances In Matrix And Operator Theory written by Joseph A. Ball and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-22 with Mathematics categories.


This volume comprises the proceedings of the International Workshop on Operator Theory and Its Applications held at the University of Connecticut in July 2005.



Recent Progress In Pharmaceutical Nanobiotechnology A Medical Perspective


Recent Progress In Pharmaceutical Nanobiotechnology A Medical Perspective
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Author : Habibe Yılmaz
language : en
Publisher: Bentham Science Publishers
Release Date : 2023-12-28

Recent Progress In Pharmaceutical Nanobiotechnology A Medical Perspective written by Habibe Yılmaz and has been published by Bentham Science Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-12-28 with Science categories.


Recent Progress in Pharmaceutical Nanobiotechnology: A Medical Perspective offers a comprehensive exploration of the dynamic field of pharmaceutical nanobiotechnology, focusing on its medical applications. This edited reference serves as a valuable resource for researchers, students, and professionals in various disciplines (pharmacology, biotechnology, clinical medicine and nanotechnology) , providing insights into the latest advancements and practical implications of nanotechnology in the pharmaceutical sector. The book presents 14 edited and referenced chapters that cover several themes for readers. General Pharmaceutical Nanobiotechnology: Introduction to the interdisciplinary field Exploration of nanoscale materials for medical purposes Nanoparticle Development and Applications: Bioinspired Nanomedicines Lipid-Based Nanocarriers Metallic Nanoparticles and Their Applications Nanoparticle Targeting Strategies Nanomedicine-Based Therapies for Cancer Stem Cells Biotechnological Aspects: Biotechnological Significance of Exosomes Glycoconjugates: Biosynthesis and Functions Innovative Nanotherapies: Novel Nanotechnological Approaches for Glioblastoma Biocompatibility of Nanomedicines and Bio Corona Diagnostic and Sensing Applications: Role of Nanoparticular/Nano Vesicular Systems as Biosensors In Vitro Applications of Drug-Carrying Nanoparticles in Cell Culture Studies In Vivo Imaging Techniques: Bioluminescence and Fluorescence Imaging Precision Medicine: The Role of Nano and Biopharmaceutics in Precision Medicine Audience Postgraduate researchers in pharmaceutical biotechnology; pharmacy professionals and academicians



Recent Progress On Some Problems In Several Complex Variables And Partial Differential Equations


Recent Progress On Some Problems In Several Complex Variables And Partial Differential Equations
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Author : Shiferaw Berhanu
language : en
Publisher: American Mathematical Soc.
Release Date : 2006

Recent Progress On Some Problems In Several Complex Variables And Partial Differential Equations written by Shiferaw Berhanu and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.


The papers in this volume cover many important topics of current interest in partial differential equations and several complex variables. An international group of well-known mathematicians has contributed original research articles on diverse topics such as the geometry of complex manifolds, the mean curvature equation, formal solutions of singular partial differential equations, and complex vector fields. The material in this volume is useful for graduate students and researchers interested in partial differential equations and several complex variables.



Spde In Hydrodynamics Recent Progress And Prospects


Spde In Hydrodynamics Recent Progress And Prospects
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Author : Sergio Albeverio
language : en
Publisher: Springer
Release Date : 2008-04-01

Spde In Hydrodynamics Recent Progress And Prospects written by Sergio Albeverio and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-01 with Mathematics categories.


Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics. In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence. Finally, Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.