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[null,"1.","Record Nr.",null,"UNINA9910786417503321"]
[null,null,"Autore",null,"Street Brian"]
[null,null,"Titolo",null,"Multi-parameter singular integrals / / Brian Street"]
[null,null,"Pubbl/distr/stampa",null,"Princeton, New Jersey ; ; Oxfordshire, England : , : Princeton University Press, , 2014"]
[{"$nulls":4},"©2014"]
[null,null,"ISBN",null,"1-4008-5275-7"]
[null,null,"Edizione",null,"[Course Book]"]
[null,null,"Descrizione fisica",null,"1 online resource (412 p.)"]
[null,null,"Collana",null,"Annals of Mathematics Studies ; ; Number 189"]
[null,null,"Classificazione",null,"SI 830"]
[null,null,"Disciplina",null,"515/.98"]
[null,null,"Soggetti",null,"Singular integrals"]
[{"$nulls":4},"Transformations (Mathematics)"]
[null,null,"Lingua di pubblicazione",null,"Inglese"]
[null,null,"Formato",null,"Materiale a stampa"]
[null,null,null,"Livello bibliografico","Monografia"]
[null,null,null,"Note generali","Description based upon print version of record."]
[null,null,null,"Nota di bibliografia","Includes bibliographical references and index."]
[null,null,"Nota di contenuto",null,"Front matter -- Contents -- Preface -- 1. The Calderón-Zygmund Theory I: Ellipticity -- 2. The Calderón-Zygmund Theory II: Maximal Hypoellipticity -- 3. Multi-parameter Carnot-Carathéodory Geometry -- 4. Multi-parameter Singular Integrals I: Examples -- 5. Multi-parameter Singular Integrals II: General Theory -- Appendix A. Functional Analysis -- Appendix B. Three Results from Calculus -- Appendix C. Notation -- Bibliography -- Index"]
[null,null,null,"Sommario/riassunto","This book develops a new theory of multi-parameter singular integrals associated with Carnot-Carathéodory balls. Brian Street first details the classical theory of Calderón-Zygmund singular integrals and applications to linear partial differential equations. He then outlines the theory of multi-parameter Carnot-Carathéodory geometry, where the main tool is a quantitative version of the classical theorem of Frobenius. Street then gives several examples of multi-parameter singular integrals arising naturally in various problems. The final chapter of the book develops a general theory of singular integrals that generalizes and unifies these examples. This is one of the first general theories of multi-parameter singular integrals that goes beyond the product theory of singular integrals and their analogs. Multi-parameter Singular Integrals will interest graduate students and researchers working in singular integrals and related fields."]