{"product_id":"9783032362032","title":"Modern Perspectives in Approximation Theory Graphs, Networks, Quasi-Interpolation and Sampling Theory","description":"\u003ch3\u003eLecture Notes in Mathematics C.I.M.E. Foundation Subseries\u003c\/h3\u003e\u003ch1\u003eModern Perspectives in Approximation Theory\u003c\/h1\u003e\u003ch2\u003eGraphs, Networks, Quasi-Interpolation and Sampling Theory\u003c\/h2\u003e\u003ch3\u003eMartin Buhmann | Stefano De Marchi | Gianluca Vinti | Martin Buhmann | Wolfgang Erb | Götz Pfander\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Mathematical Analysis\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp class=\"MsoPlainText\"\u003eBased on the C.I.M.E. Summer School held in Cetraro (Italy) in July 2025, this volume presents a unified perspective on fundamental questions of stability, efficiency, and spectral structure in modern approximation theory. It collects recent developments in kernel-based approximation, harmonic analysis, graph signal processing, and sampling theory, with particular attention to the representation and reconstruction of functions and signals on irregular domains.\u003c\/p\u003e\r\n\u003cp class=\"MsoPlainText\"\u003eThe book consists of three chapters. Quasi-interpolation and Radial Basis Functions by Martin D. Buhmann; Harmonic Analysis on Graphs and Networks by Wolfgang Erb; and Exponential Bases and Sampling Theory by Götz Pfander, which also share principles such as localization and spectral analysis by illustrating the interplay between classical theory and emerging applications.\u003c\/p\u003e\r\n\u003cp class=\"MsoPlainText\"\u003eThe volume is intended for graduate students and researchers in approximation theory, harmonic analysis, numerical analysis, signal processing, and related areas.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNoSpacing\" style=\"text-align: justify;\"\u003e\u003cstrong style=\"mso-bidi-font-weight: normal;\"\u003e\u003cspan lang=\"EN-GB\" style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: EN-GB;\"\u003eMartin Buhmann\u003c\/span\u003e\u003c\/strong\u003e\u003cspan lang=\"EN-GB\" style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: EN-GB;\"\u003e is a full professor of numerical analysis at the Justus Liebig University Giessen, Germany. His research focuses on multivariate approximation theory, kernel methods, and radial basis functions, with contributions to nonlinear optimization and numerical differential equations. He is the author of \u003c\/span\u003e\u003cem\u003e\u003cspan lang=\"IT\"\u003eRadial Basis Functions: Theory and Implementations\u003c\/span\u003e\u003c\/em\u003e\u003cem style=\"mso-bidi-font-style: normal;\"\u003e\u003cspan lang=\"IT\" style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: EN-GB;\"\u003e \u003c\/span\u003e\u003c\/em\u003e\u003cspan lang=\"EN-GB\" style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: EN-GB;\"\u003eand the co-author of \u003c\/span\u003e\u003cem\u003e\u003cspan lang=\"IT\"\u003eQuasi-Interpolation\u003c\/span\u003e\u003c\/em\u003e\u003cspan lang=\"EN-GB\" style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; mso-ansi-language: EN-GB;\"\u003e (Cambridge University Press).\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\" style=\"margin-bottom: .0001pt; text-align: justify;\"\u003e\u003cspan lang=\"IT\"\u003e\u003cstrong\u003eStefano De Marchi\u003c\/strong\u003e is a full professor of numerical analysis at the University of Padova. His research spans approximation theory, kernel methods, multivariate interpolation, and topological data analysis. A co-discoverer of the Padua points, he has authored over 160 publications and delivered more than 120 invited lectures. He chairs the UMI Thematic Group on Approximation Theory and Applications and is the Managing Editor of \u003cem\u003eDolomites Research Notes on Approximation\u003c\/em\u003e.\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\" style=\"margin-bottom: .0001pt; text-align: justify;\"\u003e\u003cspan lang=\"IT\"\u003e\u003cstrong\u003eGianluca Vinti\u003c\/strong\u003e is a full professor of mathematical analysis at the University of Perugia. His research focuses on approximation theory, signal and image processing, and mathematical models for biomedical and engineering applications. He has authored over 180 scientific publications and a renowned monograph, holds patents in biomedical imaging, and has delivered more than 150 invited lectures at universities and research centers worldwide.\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\" style=\"margin-bottom: .0001pt; text-align: justify;\"\u003e\u003cspan lang=\"IT\"\u003e\u003cstrong\u003eWolfgang Erb\u003c\/strong\u003e is an associate professor of numerical analysis at the University of Padua, Italy. His research focuses on computational harmonic analysis, graph learning and signal processing, multivariate approximation, inverse problems, and reconstruction algorithms for biomedical imaging, particularly magnetic particle imaging. He earned his Ph.D. from the Technical University of Munich and has held postdoctoral positions in Germany and the USA.\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp class=\"MsoNormal\" style=\"margin-bottom: .0001pt; text-align: justify;\"\u003e\u003cspan lang=\"IT\"\u003e\u003cstrong\u003eGötz E. Pfander\u003c\/strong\u003e is a full professor of mathematics and the Chair of Scientific Computing at the Katholische Universität Eichstätt–Ingolstadt, Germany. His research covers harmonic and time-frequency analysis, sampling theory, frame theory, compressed sensing, and data science. He is the Editor-in-Chief of \u003cem\u003eSampling Theory, Signal Processing, and Data Analysis\u003c\/em\u003e, the Chair of the SampTA Steering Committee, and has led numerous research projects funded by the German Research Foundation (DFG).\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e31 December 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783032362032\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":51458273837196,"sku":"9783032362032","price":71.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783032362032.jpg?v=1784153134","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783032362032","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}