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功能分析 電子書

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  • Lipschitz Algebras (Second Edition)

    Nik Weaver ……
    'The book is very well-written by one of the leading figures in the subject. It is self-contained, includes relevant recent advances and is enriched by a large number of examples and illustrations. In addition to the general bibliography, each chapter includes a section of notes, which details the authorship of the main results, and provides useful hints for further readings. Undoubtedly, this …… 閱讀更多內容

    NT$1,559 TWD

  • Orthonormal Series Estimators

    Odile Pons ……
    The approximation and the estimation of nonparametric functions by projections on an orthonormal basis of functions are useful in data analysis. This book presents series estimators defined by projections on bases of functions, they extend the estimators of densities to mixture models, deconvolution and inverse problems, to semi-parametric and nonparametric models for regressions, hazard functions …… 閱讀更多內容

    NT$2,062 TWD

  • Lecture Notes On Calculus Of Variations

    系列 第 6 冊 - Peking University Series In Mathematics
    This is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce …… 閱讀更多內容

    NT$1,411 TWD

  • Aspects of Representation Theory and Noncommutative Harmonic Analysis

    系列 第 2 冊 - Mathematical Foundations for Computer Vision, Machine Learning, and Robotics
    This book presents the theory of harmonic analysis for noncommutative compact groups. If G is a commutative locally compact group, there is a well-understood theory of harmonic analysis as discussed in Aspects of Harmonic Analysis on Locally Compact Abelian Groups. If G is not commutative, things are a lot tougher. In the special case of a compact group, there is a deep interplay between analysis …… 閱讀更多內容

    NT$2,080 TWD

  • Quantum Isometry Groups

    系列 series Infosys Science Foundation Series in Mathematical Sciences
    This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The …… 閱讀更多內容

    NT$3,212 TWD

  • Geometric Singular Perturbation Theory Beyond the Standard Form

    系列 series Mathematics and Statistics (R0)
    This volume provides a comprehensive review of multiple-scale dynamical systems. Mathematical models of such multiple-scale systems are considered singular perturbation problems, and this volume focuses on the geometric approach known as Geometric Singular Perturbation Theory (GSPT).It is the first of its kind that introduces the GSPT in a coordinate-independent manner. This is motivated by …… 閱讀更多內容

    NT$2,301 TWD

  • Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications

    系列 series Mathematics and Statistics (R0)
    This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for …… 閱讀更多內容

    NT$3,030 TWD

  • Operators Between Sequence Spaces and Applications

    系列 series Mathematics and Statistics (R0)
    This book presents modern methods in functional analysis and operator theory along with their applications in recent research. The book also deals with the solvability of infinite systems of linear equations in various sequence spaces. It uses the classical sequence spaces, generalized Cesaro and difference operators to obtain calculations and simplifications of complicated spaces involving these …… 閱讀更多內容

    NT$3,030 TWD

  • Green’s Functions in the Theory of Ordinary Differential Equations

    Alberto Cabada ……
    系列 series Mathematics and Statistics (R0)
    This book provides a complete and exhaustive study of the Green’s functions. Professor Cabada first proves the basic properties of Green's functions and discusses the study of nonlinear boundary value problems. Classic methods of lower and upper solutions are explored, with a particular focus on monotone iterative techniques that flow from them. In addition, Cabada proves the existence of positive …… 閱讀更多內容

    NT$2,106 TWD

  • Day Trade Your Way to Success

    IDA LOOME ……
    This book could change your life. This book could facilitate your life-long success story.This book is Day Trade Your Way to Success!Day Trade Your Way to Sucess is a book about basics concepts on Forex Trading.It describes the basics of getting started and how you can level up to success.Be adventurous, be curious, succeed your way through day trade! …… 閱讀更多內容

    NT$315 TWD

  • Linear Operators and Their Essential Pseudospectra

    Aref Jeribi ……
    Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied.In recent years, spectral theory has witnessed an explosive development. This volume presents …… 閱讀更多內容

    NT$5,298 TWD

  • Geometry of Deep Learning

    A Signal Processing Perspective

    Jong Chul Ye ……
    系列 series Mathematics and Statistics (R0)
    The focus of this book is on providing students with insights into geometry that can help them understand deep learning from a unified perspective. Rather than describing deep learning as an implementation technique, as is usually the case in many existing deep learning books, here, deep learning is explained as an ultimate form of signal processing techniques that can be imagined.To support this …… 閱讀更多內容

    NT$1,932 TWD

  • Recent Advances in Mechanics and Fluid-Structure Interaction with Applications

    The Bong Jae Chung Memorial Volume

    編輯者: Fernando Carapau, Ashwin Vaidya ……
    系列 series Mathematics and Statistics (R0)
    This volume examines current research in mechanics and its applications to various disciplines, with a particular focus on fluid-structure interaction (FSI). The topics have been chosen in commemoration of Dr. Bong Jae Chung and with respect to his wide range of research interests. This volume stands apart because of this diversity of interests, featuring an interdisciplinary and in-depth analysis …… 閱讀更多內容

    NT$4,565 TWD

  • Hardy Spaces on Ahlfors-Regular Quasi Metric Spaces

    A Sharp Theory

    系列 series Mathematics and Statistics (R0)
    Systematically constructing an optimal theory, this monograph develops and explores several approaches to Hardy spaces in the setting of Alhlfors-regular quasi-metric spaces. The text is divided into two main parts, with the first part providing atomic, molecular, and grand maximal function characterizations of Hardy spaces and formulates sharp versions of basic analytical tools for quasi-metric …… 閱讀更多內容

    NT$1,756 TWD

  • Harmonic Analysis on Exponential Solvable Lie Groups

    系列 series Mathematics and Statistics (R0)
    This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the …… 閱讀更多內容

    NT$3,511 TWD

  • Carleman Estimates and Applications to Inverse Problems for Hyperbolic Systems

    系列 series Mathematics and Statistics (R0)
    This book is a self-contained account of the method based on Carleman estimates for inverse problems of determining spatially varying functions of differential equations of the hyperbolic type by non-overdetermining data of solutions. The formulation is different from that of Dirichlet-to-Neumann maps and can often prove the global uniqueness and Lipschitz stability even with a single measurement. …… 閱讀更多內容

    NT$3,511 TWD

  • Function Spaces and Operators between them

    系列 series Mathematics and Statistics (R0)
    The aim of this work is to present, in a unified and reasonably self-contained way, certain aspects of functional analysis which are needed to treat function spaces whose topology is not derived from a single norm, their topological duals and operators between those spaces. We treat spaces of continuous, analytic and smooth functions as well as sequence spaces. Operators of differentiation, …… 閱讀更多內容

    NT$4,917 TWD

  • Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

    系列 series Mathematics and Statistics (R0)
    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. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual …… 閱讀更多內容

    NT$3,161 TWD

  • Completeness Theorems and Characteristic Matrix Functions

    Applications to Integral and Differential Operators

    系列 series Mathematics and Statistics (R0)
    This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that …… 閱讀更多內容

    NT$4,917 TWD

  • Quaternionic Hilbert Spaces and Slice Hyperholomorphic Functions

    系列 series Mathematics and Statistics (R0)
    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 several complex variables, play an important role in analysis and related fields. Besides their intrinsic interest, such spaces have numerous applications.The book is divided into three parts. In …… 閱讀更多內容

    NT$5,619 TWD

  • New Directions in Function Theory: From Complex to Hypercomplex to Non-Commutative

    Chapman University, November 2019

    系列 series Mathematics and Statistics (R0)
    This volume presents selected contributions from experts gathered at Chapman University for a conference held in November 2019 on new directions in function theory. The papers, written by leading researchers in the field, relate to hypercomplex analysis, Schur analysis and de Branges spaces, new aspects of classical function theory, and infinite dimensional analysis.Signal processing constitutes a …… 閱讀更多內容

    NT$4,917 TWD

  • Algebraic Topology and Related Topics

    編輯者: Mahender Singh, Yongjin Song, Jie Wu ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the …… 閱讀更多內容

    NT$5,268 TWD

  • Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

    General Boundary Conditions on Riemannian Manifolds

    系列 series Mathematics and Statistics (R0)
    This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet …… 閱讀更多內容

    NT$5,619 TWD

  • Topology of Infinite-Dimensional Manifolds

    Katsuro Sakai ……
    系列 series Mathematics and Statistics (R0)
    An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the …… 閱讀更多內容

    NT$4,917 TWD