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Scuola Normale Superiore

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Probabilistic and statistical aspects of quantum theory.

Holevo, Alexander S.
(2011)  | 9788876423758 | Scuola Normale Superiore | pbk. | book | 334pp
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This book is devoted to aspects of the foundations of quantum mechanics in which probabilistic and statistical concepts play an essential role. The main part of the book concerns the quantitative statistical theory of quantum measurement, based on the notion of positive operator-valued measures. During...

An introduction to infinite dimensional analysis.

Da, Prato Giuseppe.
(2001)  | 9788876423093 | Scuola Normale Superiore | pbk. | book | 191pp
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The lectures this volume collects were designed for an audience having basic knowledge of Functional Analysis and Measure Theory, but not familiar with Probability. The main aim is to give an introduction to Analysis in separable infinite-dimensional Hilbert spaces. The arguments the book deals with...

Analytic convexity and the principle of phragmen-lindeloff.

Andreotti, Aldo. Nacinovich, Mauro.
(1980)  | 9788876422430 | Scuola Normale Superiore | pbk. | book | 184pp
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We consider in Rn a differential operator P(D), P a polynomial, with constant coefficients. Let U be an open set in Rn and A(U) be the space of real analytic functions on U. We consider the equation P(D)u=f, for f in A(U) and look for a solution in A(U). Hormander proved a necessary and sufficient condition...

Asymptotics in dynamics, geometry and pdes; generalized borel summation : proceedings of the conference held in crm pisa, 12-16 october 2009.

Costin, Ovidiu. Fauvet, édéric. Menous, édéric. Sauzin, David.
(2011)  | 9788876423741 | Scuola Normale Superiore | pbk. | book | 450pp
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These are the proceedings of a one-week international conference centered on asymptotic analysis and its applications. They contain major contributions dealing with - mathematical physics: PT symmetry, perturbative quantum field theory, WKB analysis, - local dynamics: parabolic systems, small denominator...

Lectures on complex analysis and analytic geometry.

Della, Sala Giuseppe. Saracco, Alberto. Simioniuc, Alexandru. Tomassini, Giuseppe.
(2006)  | 9788876421990 | Scuola Normale Superiore | pbk. | book | xix, 430pp
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This book is an introduction to the theory of holomorphic functions of several complex variables. It is based on the courses attended by students of mathematics at Scuola Normale Superiore of Pisa. Its treated subjects range from an advanced undergraduate course to a Ph.D. level. The book is largely...

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Flows of non-smooth vector fields and degenerate elliptic equations : with applications to the vlasov-poisson and semigeostrophic systems.

Colombo, Maria.
(2017)  | 9788876426063 | Scuola Normale Superiore | pbk. | book | Availability last checked: 31/5/2017
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The first part of the book is devoted to the transport equation for a given vector field, exploiting the lagrangian structure of solutions. It also treats the regularity of solutions of some degenerate elliptic equations, which appear in  the eulerian counterpart of some transport models with congestion....

Free discontinuity problems.

Fusco, Nicola. Pratelli, Aldo.
(2017)  | 9788876425929 | Scuola Normale Superiore | pbk. | book | Availability last checked: 1/2/2017
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This book presents a series of lectures on three of the best known examples of free discontinuity problems: the Mumford-Shah model for image segmentation, a variational model for the epitaxial growth of thin films, and the sharp interface limit of the Ohta-Kawasaki model for pattern formation in dyblock...

Fractional elliptic problems with critical growth in the whole of $ r^n$.

Dipierro, Serena. Medina, María. Valdinoci, Enrico.
(2017)  | 9788876426001 | Scuola Normale Superiore | pbk. | book | viii, 158pp | Availability last checked: 19/4/2017
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These lecture notes are devoted to the analysis of a nonlocal equation in the whole of Euclidean space. In studying this equation, all the necessary material is introduced in the most self-contained way possible, giving precise references to the literature when necessary. The results presented are original,...


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