Analysis, Geometry, Number Theory

On a problem of injectivity for the Radon transform on a paraboloid by M. Agranovsky Anti-self-dual symplectic forms and integral geometry by J. C. Alvarez Holomorphic extendibility of functions via nonlinear Fourier transforms by T. T. Banh Division-interpolation methods and Nullstellensatze by C. A. Berenstein and A. Yger Uniqueness and non-uniqueness for microanalytic continuation of ultradistributions by J. Boman A rational Landen transformation. The case of degree six by G. Boros and V. H. Moll A perturbation result for linear differential operators admitting a global right inverse on $\mathcal{D}^\prime$ by R. W. Braun, R. Meise, and B. A. Taylor Weyl's law with error estimate by S. Catto, J. Huntley, N. Moh, and D. Tepper Dirac equation in the octonionic algebra by F. Colombo, I. Sabadini, and D. C. Struppa A note on Siegel's proof of Hamburger's theorem by W. Culp-Ressler and W. d. A. Pribitkin Sheaves and $\mathcal{D}$-modules in integral geometry by A. D'Agnolo Positivity conditions and squared norms of holomorphic polynomial mappings by J. P. D'Angelo The exponential x-ray transform and Fritz John's equation. I. Range description by L. Ehrenpreis, P. Kuchment, and A. Panchenko Two lemmas in local analytic geometry by C. L. Epstein and G. M. Henkin Partitions and theta constant identities by H. M. Farkas and I. Kra The Radon transform and spectral rigidity of the Grassmannians by J. Gasqui and H. Goldschmidt Complex powers of convolution operators on the Heisenberg group by D. Geller Estimates for generalized Radon transforms in three and four dimensions by A. Greenleaf, A. Seeger, and S. Wainger Irregular sampling and the Radon transform by E. Grinberg and I. Pesenson Involution of $\Lambda$-adic analytic spaces and the $U_p$-operator for half-integral weight modular forms by P. Guerzhoy Maximal sequences of compact Riemann surfaces by R. C. Gunning On BMO singularities of solutions of analytic complex vector fields by J. Hounie and J. Tavares The initial value problem for a fifth order shallow water equation on the real line by A. A. Himonas and G. Misiolek Mappings between degenerate real analytic hypersurfaces in $C^n$ by X. Huang, J. Merker, and F. Meylan Analysis of artifacts in local tomography with nonsmooth attenuation by A. Katsevich The Hecke convergence factor and modular forms of weight zero by M. I. Knopp and W. d. A. Pribitkin Hypoellipticity at points of infinite type by J. J. Kohn Semi-global analytic regularity for ${<!-- -->{\overline{\partial}}_b}$ on CR submanifolds of $\mathbb{C}^2$ by M. Derridj and D. S. Tartakoff Cauchy transform and Hardy spaces for rough planar domains by L. Lanzani On real analytic planar vector fields near the character set by A. Meziani On longest increasing subsequences in random permutations by A. M. Odlyzko and E. M. Rains Convergence of Poincare series with two complex coweights by P. C. Pasles Eisenstein series and Eichler integrals by W. d. A. Pribitkin Real hypersurfaces with no infinitesimal CR automorphisms by N. K. Stanton Extension of cohomology classes by F. Treves Two-radius support theorems for spherical Radon transforms on manifolds by Y. Zhou and E. T. Quinto.