Resolution of Singularities and Division of Distributions
From MaRDI portal
Publication:5581978
DOI10.1002/cpa.3160230202zbMath0188.19405OpenAlexW2159626963MaRDI QIDQ5581978
Publication date: 1970
Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/cpa.3160230202
Related Items
Local geometry of singular real analytic surfaces, Bernstein-Sato Polynomials in Commutative Algebra, Learning Coefficients of Layered Models When the True Distribution Mismatches the Singularities, One Parameter Regularizations of Products of Residue Currents, Unnamed Item, Archimedean zeta functions and oscillatory integrals, Introduction to 𝑝-adic Igusa zeta functions, 𝑝-Adic analysis: A quick introduction, Resolution of singularities for \(C^\infty\) functions and meromorphy of local zeta functions, The exact asymptotic form of Bayesian generalization error in latent Dirichlet allocation, A structure theorem for fundamental solutions of analytic multipliers in \(\mathbb{R}^n\), Recent advances in algebraic geometry and Bayesian statistics, Detectors in weakly-coupled field theories, A simple algorithm for expanding a power series as a continued fraction, A note on the stability of local zeta functions, Matrix models and deformations of JT gravity, Introduction to the Atiyah issue, Pseudo-differential equations connected with p-adic forms and local zeta functions, The log-canonical threshold of a plane curve, Fonctions zêta locales d'Igusa à plusieurs variables, intégration dans les fibres, et discriminants, Unnamed Item, Nonpolar singularities of local zeta functions in some smooth case, When is a Riesz distribution a complex measure?, On the invertibility of Born-Jordan quantization, Knapp-Stein type intertwining operators for symmetric pairs, A theorem concerning uniform estimates of oscillatory integrals when the phase is a function of two variables, Rationality criteria and application to the generating series of a system of equations with coefficients in a local field, On the explicit calculation of fundamental solutions, Monodromy eigenvalues and zeta functions with differential forms, On Meromorphic Continuation of Local Zeta Functions, Singular equivariant asymptotics and Weyl's law. On the distribution of eigenvalues of an invariant elliptic operator, Special zeta Mahler functions, Analytic continuation of residue currents, Floer cohomology, multiplicity and the log canonical threshold, On Archimedean zeta functions and Newton polyhedra, F-method for symmetry breaking operators, Regular elements and monodromy of discriminants of finite reflection groups, Criteria for Solvability of Left Invariant Operators on Nilpotent Lie Groups, Composition formulas in the Weyl calculus, Local classification of volume forms in the presence of a hypersurface, Zeta functions and oscillatory integrals for meromorphic functions, On boundedness of maximal operators associated with hypersurfaces, Renormalization of Feynman amplitudes on manifolds by spectral zeta regularization and blow-ups, Analytic functionals annihilated by ideals, Algebraic/combinatorial proofs of Cayley-type identities for derivatives of determinants and Pfaffians, Mixed Łojasiewicz exponents and \(\log\) canonical thresholds of ideals, Micro-analyticity of the S-matrix and related functions, Effective equidistribution of \(S\)-integral points on symmetric varieties, Asymptotic behavior of exchange ratio in exchange Monte Carlo method, Scaling limits in computational Bayesian inversion, Poles of the complex zeta function of a plane curve, On holonomic systems for \(\prod_{l=1}^N(f_l+\sqrt{-1}0)^{\lambda_l}\), Resolution of singularities, asymptotic expansions of integrals and related phenomena, Nonlinear Maxwell equations in inhomogeneous media, On the rationality of certain generating functions, Micro-local properties of $\prod\nolimits_{j = 1}^n \mathcal{f}_{j + }^{s_j }$, Intégrales asymptotiques et monodromie, Spanning forests andOSP(N|2M) -invariantσ-models, Meromorphic extensions of regular holonomic distributions, Singularities in mixture models and upper bounds of stochastic complexity., On the random variable \(\{1,2,\dots ,n\}r\ni (k_1,k_2,\dots ,k_r)\mapsto\mathrm{gcd}(n,k_1k_2\cdots k_r)\in\mathbb N\), Microlocal analysis on wonderful varieties. Regularized traces and global characters, Asymptotic expansions in time for solutions of Schrödinger-type equations, Questions inspired by Mikael Passare's mathematics, Logarithmic asymptotic of the Laplace integrals, Singularités de séries de Dirichlet associées à des polynômes de plusieurs variables et applications en théorie analytique des nombres. (Singularities of Dirichlet series associated to polynomials of several variables and applications to analytic number theory), Gröbner Bases in D-Modules: Application to Bernstein-Sato Polynomials, On the characters of exponential groups, On some generalizations of Jacobi's residue formula, Sur l'analyse harmonique sur les groupes de Lie résolubles, Algebraic Analysis for Nonidentifiable Learning Machines, Products of residue currents of Cauchy-Fantappiè-Leray type, Variational approximation error in non-negative matrix factorization, The wave front set of the Fourier transform of algebraic measures, Local zeta functions, pseudodifferential operators and Sobolev-type spaces over non-Archimedean local fields, Singularities of solutions of the cauchy problems for operators with hearly constant coefficient hyperbolic principal part, On the average period of an elliptic curve, Spectra of pseudo-differential operators on the Schwartz space, Meromorphic continuation of Koba-Nielsen string amplitudes, An elementary coordinate-dependent local resolution of singularities and applications, Spectral geometry of semi-algebraic sets, Residue currents associated with weakly holomorphic functions, Integral operators on the Oshima compactification of a Riemannian symmetric space, Regularization of \(p\)-adic string amplitudes, and multivariate local zeta functions, Local zeta functions and fundamental solutions for pseudo-differential operators over \(p\)-adic fields, Beyond Wiener's lemma: nuclear convolution algebras and the inversion of digital filters, Einfach-elliptische Singularitäten, Distributional limits of renormalized Feynman integrals with zero-mass denominators, Meromorphicity of \(P^z\), where \(P\) is a matrix, On temperate fundamental solutions supported by a convex cone, Newton polyhedra and estimation of oscillating integrals, Eine Bemerkung zur Division von Distributionen durch analytische Operatorfunktionen, Equations of states in singular statistical estimation, Newton polyhedra and weighted oscillatory integrals with smooth phases, Resolution of singularities and geometric proofs of the Łojasiewicz inequalities, Regularizations of residue currents, Meromorphy of local zeta functions in smooth model cases, Residue currents with prescribed annihilator ideals on singular varieties, On higher Mahler measures and zeta Mahler measures for one variable polynomials, Spectral decomposition of invariant differential operators on certain nilpotent homogeneous spaces, Equations With Constant Coefficients Invariant Under a Group of Linear Transformations, Monodromy conjecture for nondegenerate surface singularities, Green currents and analytic continuation, Analyse harmonique sur les espaces symétriques nilpotents, Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\), Modules over a ring of differential operators. Study of the fundamental solutions of equations with constant coefficients, Some applications of Hironaka’s theorem on the resolution of singularities to the study of a fundamental solution for linear partial differential operators, The fourier integral transform on nilpotent lie groups, Heights of hypersurfaces and Igusa's zeta-functions, Stochastic complexities of reduced rank regression in Bayesian estimation, Fundamental solutions of pseudo-differential operators over \(p\)-adic fields, The analytic continuation of generalized functions with respect to a parameter, Decoupling theorem of quantum field theory in Minkowski space, Inversion of analytic matrices and local solvability of some invariant differential operators on nilpotent lie groups, The rationality of the Poincaré series associated to the p-adic points on a variety, Transverse spin in the light-ray OPE, The distribution \(|v|^\lambda\), oscillating integrals and principal value integrals, Prolongement méromorphe des séries de Dirichlet associées à des fractions rationnelles de plusieurs variables, A regularization of Dirac delta function for a singular analytic function, The asymptotic expansion of Minakshisundaram-Pleijel in the equivariant case, Explicit Hodge-type decomposition on projective complete intersections, Asymptotic accuracy of Bayes estimation for latent variables with redundancy
