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Maximal functions. --- Littlewood-Paley theory. --- Fourier transformations. --- Riesz spaces. --- Flag manifolds. --- Hardy spaces. --- Functions of several real variables. --- Functions of complex variables.

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The thematic range of this book is wide and can loosely be described as polydispersive. Figuratively, it resembles a polynuclear path of yielding (poly)crystals. Such path can be taken when looking at it from the first side. However, a closer inspection of the book’s contents gives rise to a much more monodispersive/single-crystal and compacted (than crudely expected) picture of the book’s contents presented to a potential reader. Namely, all contributions collected can be united under the common denominator of maximum-entropy and entropy production principles experienced by both classical and quantum systems in (non)equilibrium conditions. The proposed order of presenting the material commences with properly subordinated classical systems (seven contributions) and ends up with three remaining quantum systems, presented by the chapters’ authors. The overarching editorial makes the presentation of the wide-range material self-contained and compact, irrespective of whether comprehending it from classical or quantum physical viewpoints.

Research & information: general --- Physics --- multistability --- ergodicity --- Brownian motion --- tilted periodic potential --- Lévy noise --- nonequilibrium thermodynamics --- active particles --- entropy production --- dissipative structures --- quantum entanglement --- linear entropy --- coherence --- purity of states --- concurrence --- three-qubit systems --- quantum graphs --- microwave networks --- Euler characteristic --- Neumann and Dirichlet boundary conditions --- II law of thermodynamics --- Carnot principle --- Kelvin principle --- Ostwald principle --- perpetuum mobile type III --- Clausius I and II principles --- formal implication --- model theory --- spherulites --- (poly)crystal formation --- complex growing phenomenon --- soft condensed matter --- physical kinetics --- anticoherence --- entanglement --- nonlinear systems --- human serum albumin --- hyaluronan --- conformational entropy --- dihedral angles --- frequency distribution --- epidemy --- compartmental models --- computer simulation --- SARS-CoV-2-like disease spreading --- chemical computing --- network --- oscillators --- top-down design --- Oregonator model --- Japanese flag problem --- n/a --- Lévy noise