Harmonic Analysis: The All in One Textbook

By Haneul Choi

Unlock the mathematical engine that powers signal processing, quantum mechanics, and data science. This graduatelevel reference walks you stepbystep from the bedrock of measure theory to the cutting edge of Littlewood-Paley decompositions and wavelet frames--all in 44 tightly structured chapters engineered for rapid mastery. * From Lebesgue to Fourier - Build an unshakable foundation in L spaces, orthogonality, and convergence theorems. * TransformDriven Insights - Master Fourier series, Fourier integrals, DFT, FFT concepts, multidimensional transforms, and the Poisson Summation Formula. * Core Operators Demystified - Conquer Hilbert and Riesz transforms, maximal functions, singular integrals, and fractional potentials. * RealWorld Connectivity - See rigorous proofs translate directly to signal reconstruction, uncertainty principles, spectral methods, and machinelearning kernels. * FutureProof SkillSet - 400+ worked examples and tiered exercises turn abstract theory into practical expertise for research, teaching, or advanced industry work. Whether you're sharpening your analytical toolkit or building curriculum, this single volume condenses decades of harmonic analysis into an accessible, engaging, and indispensable resource.

• Format: Hardcover
• Language: English
• ISBN: B0F65FQVL9
• ISBN13: 9798281113410
• Release Date: April 2025
• Publisher: Independently published
• Length: 397 Pages
• Dimensions: 9.2" x 1.1" x 6.2"