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 readable introduction to Dunkl harmonics and Dunkl transforms ... . the authors have collected a small compendium of results which will appeal to mathematicians interested in Dunkl analysis. ... The authors have done a commendable job in making this little book self-contained and quite readable. It will certainly serve as a starting point for graduate students and researchers interested in learning Dunkl harmonics and Dunkl transforms." (Sundaram Thangavelu, Mathematical Reviews, December, 2015)