Gaussian Harmonic Analysis (Hardcover, 2019)

Chapter 1- Preliminary Results.- Chapter 2- The Ornstein-Uhlenbeck Operator and the Ornstein-Uhlenbeck Semigroup.- Chapter 3- The Poisson-Hermite Semigroup.- Chapter 4- Covering Lemmas, Gaussian Maximal Functions, and Calderon-Zygmund Operators.- Chapter 5- Littlewood-Paley-Stein Theory with respect to Gamma d .- Chapter 6- Spectral Multiplier Operators with respect to Gammad.- Chapter 7- Function Spaces with respect to Gammad.- Chapter 8- Gaussian Fractional Integrals and Fractional Derivatives.- Chapter 9- Singular Integrals with respect to Gammad.- Appendix.- References.- Index.