Cantitate/Preț
Produs
Total produse
Vezi coșul
Analysis on h-Harmonics and Dunkl Transforms de Feng Dai

Analysis on h-Harmonics and Dunkl Transforms: Advanced Courses in Mathematics - CRM Barcelona

Autor Feng Dai, Yuan Xu Editat de Sergey Tikhonov
en Limba Engleză Paperback – 13 feb 2015
​This book provides an introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure. The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms.Graduate students and researchers working in approximation theory, harmonic analysis, and functional analysis will benefit from this book.
Citește tot Restrânge

Din seria Advanced Courses in Mathematics - CRM Barcelona

  • The Geometry of the Word Problem for Finitely Generated Groups
    Preț: 20972 lei
  • Nonlinear Partial Differential Equations
    Preț: 24364 lei
  • Modern Optimization Modelling Techniques
    Preț: 35813 lei
  • Integral Geometry and Valuations
    Preț: 24375 lei
  • Foliations: Dynamics, Geometry and Topology
    Preț: 32154 lei
  • Limit Cycles of Differential Equations
    Preț: 20514 lei
  • Arithmetic Geometry over Global Function Fields
    Preț: 36570 lei
  • Harmonic and Geometric Analysis
    Preț: 24778 lei
  • Proper Group Actions and the Baum-Connes Conjecture
    Preț: 35428 lei
  • Symplectic Geometry of Integrable Hamiltonian Systems
    Preț: 42128 lei
  • String Topology and Cyclic Homology
    Preț: 28665 lei
  • Kolmogorov Equations for Stochastic PDEs
    Preț: 41531 lei
  • Ramsey Methods in Analysis
    Preț: 43168 lei
  • 20% Contemporary Cryptology
    Preț: 35997 lei
  • Polynomial Identity Rings
    Preț: 35292 lei
  • Homotopy Theoretic Methods in Group Cohomology
    Preț: 27704 lei
  • Lectures on Algebraic Quantum Groups
    Preț: 39690 lei
  • Group-based Cryptography
    Preț: 35813 lei
  • Combinatorial Number Theory and Additive Group Theory
    Preț: 40577 lei
  • Mean Curvature Flow and Isoperimetric Inequalities
    Preț: 27880 lei
  • Simplicial Methods for Operads and Algebraic Geometry
    Preț: 24462 lei
  • Compactifying Moduli Spaces
    Preț: 24276 lei
  • Central Configurations, Periodic Orbits, and Hamiltonian Systems
    Preț: 28232 lei
  • Stochastic Integration by Parts and Functional Itô Calculus
    Preț: 20764 lei
  • Geometry and Dynamics of Integrable Systems
    Preț: 24315 lei
  • Geometry and Quantization of Moduli Spaces
    Preț: 28152 lei
  • From Lévy-Type Processes to Parabolic SPDEs
    Preț: 28136 lei
  • Algorithmic and Geometric Topics Around Free Groups and Automorphisms
    Preț: 24375 lei
  • Building Bridges Between Algebra and Topology
    Preț: 26883 lei
  • Crossed Products of C*-Algebras, Topological Dynamics, and Classification
    Preț: 50653 lei
  • Combinatorial Matrix Theory
    Preț: 26823 lei
  • Hyperbolic Cross Approximation
    Preț: 35649 lei
  • An Introduction to Piecewise Smooth Dynamics
    Preț: 21842 lei
  • Operator Algebras and Dynamics: Groupoids, Crossed Products, and Rokhlin Dimension
    Preț: 20514 lei
  • An Introduction to C*-Algebras and the Classification Program
    Preț: 20896 lei
  • Global Riemannian Geometry: Curvature and Topology
    Preț: 20858 lei
  • Variable Lebesgue Spaces and Hyperbolic Systems
    Preț: 24506 lei
  • Numerical Solutions of Partial Differential Equations
    Preț: 35912 lei
  • Elliptic Curves, Hilbert Modular Forms and Galois Deformations
    Preț: 28482 lei
  • 18% Sparse Approximation with Bases
    Preț: 18416 lei
  • 21% Moduli of Weighted Hyperplane Arrangements
    Preț: 13916 lei

Preț: 24294 lei

Nou

Puncte Express: 364
Preț estimativ în valută:
4649€ • 4824$ • 3886£

Carte disponibilă

Livrare economică 22 februarie-08 martie

 Adaugă în coș

Wish list
Gift list
Am citit!
Adaugă în listă
Preluare comenzi: 021 569.72.76

Specificații

ISBN-13: 9783034808866
ISBN-10: 3034808860
Pagini: 125
Ilustrații: VIII, 118 p.
Dimensiuni: 168 x 240 x 15 mm
Greutate: 0.25 kg
Ediția:2015
Editura: Springer
Colecția Birkhäuser
Seria Advanced Courses in Mathematics - CRM Barcelona

Locul publicării:Basel, Switzerland

Public țintă

Graduate

Cuprins

​Preface.- Spherical harmonics and Fourier transform.- Dunkl operators associated with reflection groups.- h-Harmonics and analysis on the sphere.- Littlewood–Paley theory and the multiplier theorem.- Sharp Jackson and sharp Marchaud inequalities.- Dunkl transform.- Multiplier theorems for the Dunkl transform.- Bibliography.

Recenzii

“This well-written book gives a readableintroduction to Dunkl harmonics and Dunkl transforms … . the authors have collecteda small compendium of results which will appeal to mathematicians interested inDunkl analysis. … The authors have done a commendable job in making this littlebook self-contained and quite readable. It will certainly serve as a startingpoint for graduate students and researchers interested in learning Dunklharmonics and Dunkl transforms.” (Sundaram Thangavelu, Mathematical Reviews, December,2015)

Textul de pe ultima copertă

As a unique case in this Advanced Courses book series, the authors have jointly written this introduction to h-harmonics and Dunkl transforms. These are extensions of the ordinary spherical harmonics and Fourier transforms, in which the usual Lebesgue measure is replaced by a reflection-invariant weighted measure.
The theory, originally introduced by C. Dunkl, has been expanded on by many authors over the last 20 years. These notes provide an overview of what has been developed so far. The first chapter gives a brief recount of the basics of ordinary spherical harmonics and the Fourier transform. The Dunkl operators, the intertwining operators between partial derivatives and the Dunkl operators are introduced and discussed in the second chapter. The next three chapters are devoted to analysis on the sphere, and the final two chapters to the Dunkl transform.
The authors’ focus is on the analysis side of both h-harmonics and Dunkl transforms. The need for background knowledge on reflection groups is kept to a bare minimum.

Caracteristici

Focusses on the analysis side of h-harmonics and Dunkl transforms Written in a concise yet informative style No previous knowledge on reflection groups required