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564 Haar-$\mathcal I$ sets: looking at small sets in Polish groups through compact glasses
Taras Banakh, Szymon Głąb, Eliza Jabłońska, Jarosław Swaczyna
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565 Besov and Triebel–Lizorkin spaces on spaces of homogeneous typewith applications to boundedness of Calderón–Zygmund operators
Fan Wang, Yongsheng Han, Ziyi He, Dachun Yang
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566 On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$-approach
Yoshihiro Shibata, Wojciech M. Zajączkowski
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567 Mackey groups and Mackey topologies
Lydia Außenhofer, Dikran Dikranjan
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568 Homotopical properties of hyperspaces of generalized continua: the proper and ordinary cases
Włodzimierz J. Charatonik, Tomás Fernández-Bayort, Antonio Quintero
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569 Construction and heat kernel estimates of general stable-like Markov processes
Victoria Knopova, Alexei Kulik, René L. Schilling
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570 Hausdorff dimension of the boundary of bubbles of additive Brownian motion and of the Brownian sheet
Robert C. Dalang, Thomas Mountford
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571 Evolution equations governed by quasilinear operators satisfying Carathéodory's conditions
Toshitaka Matsumoto, Hirokazu Oka, Naoki Tanaka
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572 Approximate roots of quasi-ordinary polynomials
Beata Gryszka
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573 Buildings of exceptional type in buildings of type $\mathsf{E_7}$
Anneleen De Schepper, N. S. Narasimha Sastry, Hendrik Van Maldeghem
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574 Harmonic analysis on graphs via Bratteli diagrams and path-space measures
Sergey Bezuglyi, Palle E. T. Jorgensen
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575 Structured, compactly supported Banach frame decompositions of decomposition spaces
Felix Voigtlaender
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576 There is no bound on Borel classes of graphs in the Luzin–Novikov theorem
Petr Holický, Miroslav Zelený
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577 Isolated points of spaces of homomorphisms from ordered AL-algebras
Adam Bobrowski, Wojciech Chojnacki
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578 Conditional positive definiteness in operator theory
Zenon Jan Jabłoński, Il Bong Jung, Jan Stochel
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579 Discrete symplectic systems, boundary triplets, and self-adjoint extensions
Petr Zemánek, Stephen L. Clark
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580 Tracial smooth functions of non-commuting variables and the free Wasserstein manifold
David Jekel, Wuchen Li, Dimitri Shlyakhtenko
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581 A new approach to model categorical homotopy fiber sequences
Alisa Govzmann, Damjan Pištalo, Norbert Poncin
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582 $C(\beta\mathbb{N}\setminus\mathbb{N})$ among the Archimedean $\ell$-groups with~strong~unit
Philip Scowcroft
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584 On the $(n+3)$-webs by rational curves induced by the forgetful maps on the moduli spaces $\mathcal M_{0,n+3}$
Luc Pirio
