Analysis on h-Harmonics and Dunkl Transforms

• ​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.

“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)