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Peter Oswald, Michael Griebel
Hilbert Space Splittings and Iterative Methods

This book is about the theory of so-called Schwarz methods for solving variational problems in a Hilbert space V arising from linear equations and their associated quadratic minimization problems. Schwarz…

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Daniel Alpay, Irene Sabadini, Fabrizio Colombo
Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

The purpose of the present book is to develop the counterparts of Banach and Hilbert spaces in the setting of slice hyperholomorphic functions. Banach and Hilbert spaces of analytic functions, in one or s…

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Lectures on Analytic Function Spaces and their Applications

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of co…

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Function Spaces, Theory and Applications

The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of co…

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Matteo Gallone, Alessandro Michelangeli
Self-Adjoint Extension Schemes and Modern Applications to Quantum Hamiltonians

This book introduces and discusses the self-adjoint extension problem for symmetric operators on Hilbert space. It presents the classical von Neumann and Krein Vishik Birman extension schemes both in thei…

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Sergios Theodoridis
Machine Learning

Machine Learning: From the Classics to Deep Networks, Transformers and Diffusion Models, Third Edition starts with the basics, including least squares regression and maximum likelihood methods, Bayesian d…

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Mathieu Lewin
Spectral Theory and Quantum Mechanics

This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers t…

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Ruixian Fang, Dan Gabriel Cacuci
The nth-Order Comprehensive Adjoint Sensitivity Analysis Methodology, Volume II

This text describes a comprehensive adjoint sensitivity analysis methodology (nth-CASAM), developed by the author, which enablesthe efficient and exact computation of arbitrarily high-order functional der…

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Chopra
Bridging the Gap: Local Models and Efficient Braiding for Fractional Quantum Hall on Lattices

Low dimensional, interacting quantum many-body systems host a wealth of interesting phenomena ranging from quantum phase transitions at zero temperature to topological order. The physics of such systems a…

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Paul Krühner, Fred Espen Benth
Stochastic Models for Prices Dynamics in Energy and Commodity Markets

This monograph presents a theory for random field models in time and space, viewed as stochastic processes with values in a Hilbert space, to model the stochastic dynamics of forward and futures prices in…

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Antonio García García
The Use of Frames in Sampling Theory

This book provides a comprehensive review of regular sampling based on frame theory in a separable Hilbert space. Thus, sampling theory has common features in almost all situations: classical theory, Kram…

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David Ellerman
Partitions, Objective Indefiniteness, and Quantum Reality

SpringerBriefs in Philosophy

This book presents a new partitional' approach to understanding or interpreting the math of standard quantum mechanics (QM). The thesis is that the mathematics (not the physics) of QM is the Hilbert spac…

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Valentin A. Zagrebnov, Takashi Ichinose, Hagen Neidhardt
Trotter-Kato Product Formulæ

Operator Theory: Advances and Applications -Band 296

The book captures a fascinating snapshot of the current state of results about the operator-norm convergent Trotter-Kato Product Formulæ on Hilbert and Banach spaces. It also includes results on the opera…

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Nora
Beyond Bilinearity: Exploring Nonlinear Dirichlet Forms and their Applications

The main motivation and prime example of a Dirichlet form is the energy of the Laplace operator. The Laplacian was rst introduced and studied by Laplace and other after him in the 18th and 19th century. …

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Marek Galewski
Basics of Nonlinear Optimization

This textbook gives an introduction to optimization tools which arise around the Weierstrass theorem about the minimum of a lower semicontinuous function. Starting from a Euclidean space, it moves further…

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