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This book presents a brief survey of the research to date in ultrametric summability theory, which is a fusion of a classical branch of mathematics (summability theory) with a modern branch of analysis (ultrametric analysis).
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One of the most striking and profound findings is the non-existence of non-classical quantum isometry groups for arbitrary classical connected compact manifolds and, by using... Læs mere
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Il libro introduce la teoria della misura e l'analisi funzionale con una coda di argomenti scelti. Contiene un'ampia gamma di esempi ed esercizi, per i quali si forniscono spesso suggerimenti generosi. É rivolto principalmente a studenti della laurea in Matematica e Ingegneria.
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Functional Analysis is primarily concerned with the structure of infinite dimensional vector spaces and the transformations, which are frequently called operators, between such... Læs mere
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The book is a graduate text on unbounded self-adjoint operators on Hilbert space and their spectral theory with the emphasis on applications in... Læs mere
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This book is an attempt to give a systematic presentation of results and me- ods which concern the ?xed point theory of multivalued mappings and some of its applications.
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It is probably true quite generally that in the history of human thinking the most fruitful developments frequently take place at those points where two different lines of thought meet.
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it is often used as a ‘secret weapon’ by those who know the technique.This book illuminates the subject with some of the most striking applications in... Læs mere
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The book presents surveys describing recent developments in most of the primary subfields of General Topology, and its applications to Algebra and Analysis during the last decade, following the previous editions (North Holland, 1992 and 2002).
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Dyadic (Walsh) analysis emerged as a new research area in applied... Læs mere
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The second volume of the two volumes book is dedicated to various extensions and generalizations of Dyadic (Walsh) analysis and related applications.
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Since the topic draws heavily on the interplay between the algebraic structure of a linear space and the distance structure of a metric space, functional analysis is increasingly gaining the attention of not only mathematicians but also scientists and engineers.