图书简介

Part I Geometric Analysis.- Analysis on noncompact manifolds and index theory: Fredholm conditions and pseudodifferential operators.- Singular value decomposition for the X-ray transforms on the reduced Heisenberg group, and a two-radius theorem.- Nonlocal functionals with non-standard growth.- A variational approach to the hot spots conjecture.- Endpoint Sobolev inequalities for vector fields and cancelling operators.- Scattering of Maxwell potentials on curved spacetimes.- Part II. Analysis and PDEs.- Remark on the ill-posedness for KdV-Burgers equation in Fourier amalgam spaces.- Γ-convergence for the bi-Laplace-Beltrami equation on hypersurfaces.- Bounded weak solutions with Orlicz space data: an overview.- Recent progress on the mathematical theory of wave turbulence.- Laplace-Beltrami equation on Lipschitz hypersurfaces in the generic Bessel potential spaces.- On the convergence Fourier series and greedy algorithm by multiplicative system.- Asymptotics of harmonic functions in the absence of monotonicity formulas.- Semiregular non-commutative harmonic oscillators: Some spectral asymptotic properties.- Global compactness, subcritical approximation of the Sobolev quotient, and a related concentration result in the Heisenberg group.- A note on Carleson-Hunt type theorems for Vilenkin-Fourier series.- Self-similar gravitational collapse for polytropic stars.- Control of parabolic equations with inverse square infinite potential wells.- On geometric estimates for some problems arising from modeling pull-in voltage in MEMS.- A note on fractional powers of the Hermite operator.- Non-standard version of Egorov algebra of generalized functions.- Density conditions for coherent state subsystems of nilpotent Lie groups.- Space-time mixed norm estimates in Riemannian symmetric spaces of non-compact type.- Analysis on compact symmetric spaces: eigenfunctions and nonlinear Schr¨odinger equations.- Part III Applied Mathematics.- On empirical Bayes approach to inverse problems.- The interferon influence on the infection wave propagation.- Machine learning-based analysis of human motions for Parkinson’s disease diagnostics.

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