“…Audience: This work will be of interest to researchers and graduate students working in the area of fixed point theory, topology, nonlinear functional analysis, differential inclusions, and applications such as game theory and mathematical economics.…”
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“…Nonlinear functional analysis and applications is an area of study that has provided fascination for many mathematicians across the world. …”
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“…Special classes of distributions and of complete spreads, inspired respectively by functional analysis and topology, are studied. Among the former are the probability distributions; the branched coverings are singled out amongst the latter. …”
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“…The material is accessible to students who have had a course in Functional Analysis; indeed, the first edition has been used in numerous graduate seminars. …”
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“…The text is accessible to a mathematical audience at the beginning graduate level as well as to physicists and theoretical chemists with a comparable mathematical background and requires no deeper knowledge of the theory of partial differential equations, functional analysis, or quantum theory.…”
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“…The variety of topics involved, ranging from functional analysis to harmonic analysis, Hp-spaces, Fourier multipliers, Schur multipliers, coefficients of group representations, group algebras, characterizations of amenable groups, nuclear C*-algebras, Hankel operators, etc, is an attraction of this book. …”
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“…This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration, and Martingales; measure and topology; and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed by suitable comments and remarks for better understanding of the material. …”
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“…The lectures are addressed to a reader who is familiar with basic notions of measure theory and functional analysis. The first part is devoted to the Gaussian measure in a separable Hilbert space, the Malliavin derivative, the construction of the Brownian motion and Itô's formula. …”
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“…This thorough exposition will be very useful  for mathematicians working in the fields of optimal control, the calculus of variations, applied functional analysis, and infinite horizon optimization. …”
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“…As in the previous Seminar Notes, the current volume reflects general trends in the study of Geometric Aspects of Functional Analysis. Most of the papers deal with different aspects of Asymptotic Geometric Analysis, understood in a broad sense; many continue the study of geometric and volumetric properties of convex bodies and log-concave measures in high-dimensions and in particular the mean-norm, mean-width, metric entropy, spectral-gap, thin-shell and slicing parameters, with applications to Dvoretzky and Central-Limit-type results. …”
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“…Furthermore, the necessary tools from functional analysis and number theory are included. This is a big interdisciplinary and interrelated field. …”
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“…Later on, basic facts from distribution theory and functional analysis are needed. In a few places, a more extensive background in differential geometry or pseudodifferential calculus is required, but these sections can be bypassed with no loss of continuity. …”
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“…The book can be best recommended to researchers and advanced students working on functional analysis. - Zentralblatt MATH.…”
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“…Graduate students with an understanding of operator theory, functional analysis, functional equations and analytic inequalities will find this book useful for furthering their understanding and discovering the latest results in mathematical analysis. …”
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“…However, it also offers a valuable resource for students with a solid background in vector calculus, complex analysis and functional analysis.…”
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“…The prerequisites are a grounding in functional analysis, some point set topology and an elementary knowledge of C*-algebras.…”
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“…In light of the centrality of the topic, a book of this kind fits a variety of applications, especially those that contribute to a better understanding of functional analysis, towards establishing an efficient setting for its pursuit.…”
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“…The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. …”
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“…In addition to classical results of functional analysis, differential calculus and integration, Analysis discusses topics such as convex analysis, dissipative operators and semigroups which are often absent from classical treatises. …”
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“…It is primarily intended for specialists in complex and functional analysis, graduate students, and experts in other related fields.…”
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