Serie Lecture Notes in Mathematics – alle Bücher

Kevin R. Payne, Davide Francesco Redaelli
A Primer on Semiconvex Functions in General Potential Theories

Lecture Notes in Mathematics - Band 2371

This book examines the symbiotic interplay between fully nonlinear elliptic partial differential equations and general potential theories of second order. Starting with a self-contained presentation of th…

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Friedemann Schuricht, Moritz Schönherr
A Theory of Traces and the Divergence Theorem

Lecture Notes in Mathematics - Band 2372

This book provides a new approach to traces, which are viewed as linear continuous functionals on some function space. A key role in the analysis is played by integrals related to finitely additive measur…

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Daniel Barlet, Jón Ingólfur Magnússon
Analytic Cycles of Finite Type

Lecture Notes in Mathematics - Band 2374

This book highlights the use of non-compact analytic cycles in complex geometry. The main focus is on analytic families of cycles of finite type, in other words, cycles which have only finitely many irred…

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Vladimir A. Zolotarev
Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

Lecture Notes in Mathematics - Band 2355

This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M…

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Joseph Cho, Kosuke Naokawa, Yuta Ogata, Mason Pember
Discrete Isothermic Surfaces in Lie Sphere Geometry

Lecture Notes in Mathematics - Band 2375

This book provides a highly accessible approach to discrete surface theory, within the unifying frameworks of Moebius and Lie sphere geometries, from the perspective of transformation theory of surfaces r…

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Maxime Zavidovique
Discrete Weak KAM Theory

Lecture Notes in Mathematics - Band 2377

The aim of this book is to present a self-contained account of discrete weak KAM theory. Putting aside its intrinsic elegance, this theory also provides a toy model for classical weak KAM theory, where ma…

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Flavia Lanzara, Vladimir Maz'ya, Gunther Schmidt
Fast Computation of Volume Potentials by Approximate Approximations

Lecture Notes in Mathematics - Band 2378

This book introduces a new fast high-order method for approximating volume potentials and other integral operators with singular kernel. These operators arise naturally in many fields, including physics, …

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Farid Tari, Mostafa Salarinoghabi, Masaru Hasegawa
Geometric Deformations of Discriminants and Apparent Contours

Lecture Notes in Mathematics - Band 2370

This book presents new and original results on the deformations of apparent contours of surfaces in Euclidean 3-space and the discriminants of plane-to-plane map-germs. Given a viewing direction, the appa…

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Simon Felten
Global Logarithmic Deformation Theory

Lecture Notes in Mathematics - Band 2373

This monograph provides the first systematic treatment of the logarithmic Bogomolov-Tian-Todorov theorem. Providing a new perspective on classical results, this theorem guarantees that logarithmic Calabi-…

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Yves Martinez-Maure
Hedgehog Theory

Lecture Notes in Mathematics - Band 2381

This book provides the very first comprehensive and self-contained introduction to hedgehog theory, which is born of the desire to visualize the formal differences of convex bodies. This extension of conv…

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Franz Halter-Koch,
Ideal Theory of Commutative Rings and Monoids

Lecture Notes in Mathematics - Band 2368

This book offers a concise treatment of multiplicative ideal theory in the language of multiplicative monoids. It presents a systematic development of the theory of weak ideal systems and weak module syst…

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Anna Weller
Numerical Methods for Metric Graphs

Lecture Notes in Mathematics - Band 2382

This book discusses the fundamentals of the numerics of parabolic partial differential equations posed on network structures interpreted as metric spaces. These so-called metric graphs frequently occur in…

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Javier Alejandro Chávez-Domínguez, Verónica Dimant, Daniel Galicer
Operator Space Tensor Norms

Lecture Notes in Mathematics - Band 2379

This book provides a comprehensive introduction to the systematic theory of tensor products and tensor norms within the framework of operator spaces. The use of tensor products has significantly advanced …

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Zakhar Kabluchko, David Albert Steigenberger, Christoph Thäle
Random Simplices

Lecture Notes in Mathematics - Band 2383

This book provides an introduction to the theory of random beta-type simplices and polytopes, exploring their connections to key research areas in stochastic and convex geometry. The random points definin…

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Jean Michel Rakotoson
Relative Rearrangement

Lecture Notes in Mathematics - Band 2376

This book develops the properties of monotone rearrangement and relative rearrangement (sometimes called pseudo-rearrangement). It introduces applications to variational problems involving monotone rearra…

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Séminaire de Probabilités LII

Lecture Notes in Mathematics - Band 2363

The last! This volume closes the Séminaire de Probabilités, a long and rich series that started in 1966 under the name Séminaire de Probabilités de Strasbourg. In addition to a tribute to our colleague Do…

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Sinho Chewi, Jonathan Niles-Weed, Philippe Rigollet
Statistical Optimal Transport

Lecture Notes in Mathematics - Band 2364

This monograph aims to offer a concise introduction to optimal transport, quickly transitioning to its applications in statistics and machine learning. It is primarily tailored for students and researcher…

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Stochastic Geometry: Percolation, Tesselations, Gaussian Fields and Point Processes

Lecture Notes in Mathematics - Band 2365

This volume covers a broad spectrum of topics in stochastic geometry, including percolation, tessellations, Gaussian fields and point processes. Based on lectures given at the Stochastic Geometry Days hel…

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Fabrice Bethuel, Duvan Henao, Angkana Rüland,
Variational and PDE Methods in Nonlinear Science

Lecture Notes in Mathematics - Band 2366

This book presents three short courses on topics at the intersection of Calculus of Variations, PDEs and Material Science, based on lectures given at the CIME summer school "Variational and PDE Metho…

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