{"title":"Hans Triebel","description":null,"products":[{"product_id":"theory-of-function-spaces-ii-book-hans-triebel-9783034604185","title":"Theory of Function Spaces II","description":"s s T h is b o ok de als w ith the the o ry of func tion s p ac e s of t y p e B and F as it s t ands pq pq at the end of the eigh ties. These t w o scales of spaces co v er man y w ell- kno w n s paces of functions a nd distributions suc h as H.. olde r-Zy gm und s pac e s , Sob ole v s pac e s , fra- tional Sob o lev s paces (prev ious ly a ls o o ft en referred to a s Bes s e l-p o ten tial s paces ), Be s o v s pac e s , i nhom oge ne ous Hardy s p ac e s , s pac e s of BM O-t y p e and l o c al appro - imation s paces whic h are clos ely c onnected with Morrey-Campanato s paces.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52147475677457,"sku":"NLS9783034604185","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034604185.jpg?v=1757600635"},{"product_id":"theory-of-function-spaces-book-hans-triebel-9783034604154","title":"Theory of Function Spaces","description":"The book deals with the two scales Bsp,q and Fsp,q of spaces of distributions, where -","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52148169310481,"sku":"NLS9783034604154","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034604154.jpg?v=1757602801"},{"product_id":"theory-of-function-spaces-ii-book-hans-triebel-9783764326395","title":"Theory of Function Spaces II","description":"s s T h is b o ok de als w ith the the o ry of func tion s p ac e s of t y p e B and F as it s t ands pq pq at the end of the eigh ties. These t w o scales of spaces co v er man y w ell- kno w n s paces of functions a nd distributions suc h as H.. olde r-Zy gm und s pac e s , Sob ole v s pac e s , fra- tional Sob o lev s paces (prev ious ly a ls o o ft en referred to a s Bes s e l-p o ten tial s paces ), Be s o v s pac e s , i nhom oge ne ous Hardy s p ac e s , s pac e s of BM O-t y p e and l o c al appro - imation s paces whic h are clos ely c onnected with Morrey-Campanato s paces.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52148347863313,"sku":"NLS9783764326395","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764326395.jpg?v=1757603349"},{"product_id":"analysis-und-mathematische-physik-book-hans-triebel-9783764322502","title":"Analysis und mathematische Physik","description":"Von 1974 bis 1979 hatte ich an der Friedrich-Schiller-Universitat in Jena die sicherlich nicht alltagliche Gelegenheit, einen durchgehenden 10semestrigen Kurs flir Mathematikstudenten zu lesen. Entsprechend dem Studienplan hatten diese Vorlesungen verschiedene N amen (Differential- und Integralrechnung, gewohn- liche Differentialgleichungen usw.), Inhalt und Zielstellung werden aber wohl am besten durch Analysis und mathematische Physik ausgedriickt. Das Buch ist das erweiterte Skelett dieses Kurses. Skelett insofern, als auf Beweise weitgehend verzichtet wurde (im Gegensatz zu groBen Teilen der Vorlesung). Andererseits wurden die Kapitel 27, 32 und 33 nachtraglich eingefligt. Das Ziel des Kurses ist klar, wenn man einen Blick in das Inhaltsverzeichnis dieses Buches wirft: Einerseits hat die Mathematik groBartige, elegante, in sich geschlossene Theorien entwickelt, die keiner weiteren Rechtfertigung bediirfen. Andererseits sind es oft gerade die schonsten dieser Theorien, die zugleich das Fundament bilden, auf dem klassische und moderne theoretische Physik ruhen. Es war das Ziel, nicht nur diese Fundamente zu beschreiben, sondern auch einen Eindruck von den Gebauden zu vermitteln, die iiber ihnen errichtet werden konnen. Getreu dem Hilbertschen Ideal werden hierbei mathematische Theorien und ihre physikalischen Interpretationen und Anwendungen sauberlich getrennt.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52454673711377,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52454674235665,"sku":"NLS9783764322502","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764322502.jpg?v=1759371881"},{"product_id":"fractals-and-spectra-book-hans-triebel-9783034800334","title":"Fractals and Spectra","description":"Fractals and Spectra Hans Triebel This book deals with the symbiotic relationship between the theory of function spaces, fractal geometry, and spectral theory of (fractal) pseudodifferential operators as it has emerged quite recently. Atomic and quarkonial (subatomic) decompositions in scalar and vector valued function spaces on the euclidean n-space pave the way to study properties (compact embeddings, entropy numbers) of function spaces on and of fractals. On this basis, distributions of eigenvalues of fractal (pseudo)differential operators are investigated. Diverse versions of fractal drums are played. The book is directed to mathematicians interested in functional analysis, the theory of function spaces, fractal geometry, partial and pseudodifferential operators, and, in particular, in how these domains are interrelated. ------ It is worth mentioning that there is virtually no literature on this topic and hence the most of the presented material is published here the first time. - Zentralblatt MATH (.) the monograph presents in a self-contained and very readable and lively form a new, intriguing and potentially very useful chapter of the theory of pseudodifferential operators. - Mathematical Reviews The book deals with a very recent topic and presents the significant contributions of the author. It is directed to mathematicians interested in the interrelations between function spaces and fractal geometry and is also of interest for graduate students. - Operator Theory Reviews","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52476198027537,"sku":"NLS9783034800334","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761070534929,"sku":"NIN9783034800334","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034800334.jpg?v=1759843678"},{"product_id":"theory-of-function-spaces-iii-book-hans-triebel-9783764375812","title":"Theory of Function Spaces III","description":"This book may be considered as the continuation of the monographs [Tri?]and [Tri?] with the same title. It deals with the theory of function spaces of type s s B and F as it stands at the beginning of this century. These two scales of pq pq spacescovermanywell-knownspacesoffunctionsanddistributionssuchasH¨ older- Zygmundspaces,(fractionalandclassical)Sobolevspaces,BesovspacesandHardy spaces. On the one hand this book is essentially self-contained. On the other hand we concentrate principally on those developments in recent times which are related to the nowadays numerous applications of function spaces to some neighboring areas such as numerics, signal processing and fractal analysis, to mention only a few of them. Chapter 1 in [Tri?] is a self-contained historically-oriented survey of the function spaces considered and their roots up to the beginning of the 1990s entitled How to measure smoothness. Chapter 1 of the present book has the same heading indicating continuity. As far as the history is concerned we will now be very brief, restricting ourselves to the essentials needed to make this book self-contained and readable. We complement [Tri?], Chapter 1, by a few points omitted there. But otherwise we jump to the 1990s, describing more recent developments. Some of them will be treated later on in detail.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52481818132753,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52481819246865,"sku":"NLS9783764375812","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764375812.jpg?v=1759852286"},{"product_id":"theory-of-function-spaces-iv-book-hans-triebel-9783030358938","title":"Theory of Function Spaces IV","description":"Preface.- Fundamental principles.- The essentials, key theorems.- Further topics.- Complements.","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52489366405393,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52489367683345,"sku":"NLS9783030358938","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030358938.jpg?v=1759878576"},{"product_id":"analysis-und-mathematische-physik-book-hans-triebel-9783112618950","title":"Analysis Und Mathematische Physik","description":"Von 1974 bis 1979 hatte ich an der Friedrich-Schiller-Universitat in Jena die sicherlich nicht alltagliche Gelegenheit, einen durchgehenden 10semestrigen Kurs flir Mathematikstudenten zu lesen. Entsprechend dem Studienplan hatten diese Vorlesungen verschiedene N amen (Differential- und Integralrechnung, gewohn- liche Differentialgleichungen usw.), Inhalt und Zielstellung werden aber wohl am besten durch Analysis und mathematische Physik ausgedriickt. Das Buch ist das erweiterte Skelett dieses Kurses. Skelett insofern, als auf Beweise weitgehend verzichtet wurde (im Gegensatz zu groBen Teilen der Vorlesung). Andererseits wurden die Kapitel 27, 32 und 33 nachtraglich eingefligt. Das Ziel des Kurses ist klar, wenn man einen Blick in das Inhaltsverzeichnis dieses Buches wirft: Einerseits hat die Mathematik groBartige, elegante, in sich geschlossene Theorien entwickelt, die keiner weiteren Rechtfertigung bediirfen. Andererseits sind es oft gerade die schonsten dieser Theorien, die zugleich das Fundament bilden, auf dem klassische und moderne theoretische Physik ruhen. Es war das Ziel, nicht nur diese Fundamente zu beschreiben, sondern auch einen Eindruck von den Gebauden zu vermitteln, die iiber ihnen errichtet werden konnen. Getreu dem Hilbertschen Ideal werden hierbei mathematische Theorien und ihre physikalischen Interpretationen und Anwendungen sauberlich getrennt.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52530563580177,"sku":"NLS9783112618950","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783112618950.jpg?v=1760653099"},{"product_id":"theory-of-function-spaces-iv-book-hans-triebel-9783030358907","title":"Theory of Function Spaces IV","description":"This book is the continuation of the \"Theory of Function Spaces\" trilogy, published by the same author in this series and now part of classic literature in the area of function spaces. It can be regarded as a supplement to these volumes and as an accompanying book to the textbook by D.D. Haroske and the author \"Distributions, Sobolev spaces, elliptic equations\".","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52532409073937,"sku":"NLS9783030358907","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783030358907.jpg?v=1760660788"},{"product_id":"structure-of-functions-book-hans-triebel-9783764365462","title":"The Structure of Functions","description":"This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations. The book is self-contained, although some parts may be considered as a continuation of the author's book \"Fractals and Spectra\" (MMA 91). It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52536807194897,"sku":"NLS9783764365462","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783764365462.jpg?v=1760675767"},{"product_id":"structure-of-functions-book-hans-triebel-9783034805681","title":"The Structure of Functions","description":"This book deals with the constructive Weierstrassian approach to the theory of function spaces and various applications. The first chapter is devoted to a detailed study of quarkonial (subatomic) decompositions of functions and distributions on euclidean spaces, domains, manifolds and fractals. This approach combines the advantages of atomic and wavelet representations. It paves the way to sharp inequalities and embeddings in function spaces, spectral theory of fractal elliptic operators, and a regularity theory of some semi-linear equations.   The book is self-contained, although some parts may be considered as a continuation of the author's book Fractals and Spectra. It is directed to mathematicians and (theoretical) physicists interested in the topics indicated and, in particular, how they are interrelated.   - - -    The book under review can be regarded as a continuation of [his book on \"Fractals and spectra\", 1997] (...) There are many sections named: comments, preparations, motivations, discussions and so on. These parts of the book seem to be very interesting and valuable. They help the reader to deal with the main course.  (Mathematical Reviews)","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52591725052177,"sku":"NLS9783034805681","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034805681.jpg?v=1761064514"},{"product_id":"structure-of-functions-book-hans-triebel-9783034894944","title":"The Structure of Functions","description":"This book deals with the symbiotic relationship between I Quarkonial decompositions of functions, on the one hand, and II Sharp inequalities and embeddings in function spaces, III Fractal elliptic operators, IV Regularity theory for some semi-linear equations, on the other hand. Accordingly, the book has four chapters. In Chapter I we present the Weier- strassian approach to the theory of function spaces, which can be roughly described as follows. Let 'IjJ be a non-negative Coo function in]R. n with compact support such that {'ljJe - m) : m E zn} is a resolution of unity in ]R. n. Let 'IjJ!3(x) = x!3'IjJ(x) where x E ]R. n and {3 E N~. One may ask under which circumstances functions and distributions f in ]R. n admit expansions 00 (0. 1) f(x) = L L L ). . ~m'IjJ!3(2jx - m), x E ]R. n, n !3ENg j=O mEZ with the coefficients ). . ~m E C. This resembles, at least formally, the Weier- strassian approach to holomorphic functions (in the complex plane), combined with the wavelet philosophy: translations x 1---4 x - m where m E zn and dyadic j dilations x 1---4 2 x where j E No in ]R. n. Such representations pave the way to constructive definitions offunction spaces.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52671949865233,"sku":"NLS9783034894944","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783034894944.jpg?v=1762293553"}],"url":"https:\/\/www.worldofbooks.com\/en-gb\/collections\/author-books-by-hans-triebel.oembed","provider":"World of Books ","version":"1.0","type":"link"}