Marston Morse and his mathematical works (Q3922637)

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scientific article

Language	Label	Description	Also known as
English	Marston Morse and his mathematical works	scientific article

Statements

scholarly article

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Marston Morse and his mathematical works (English)

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Bulletin of the American Mathematical Society

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publication date

1980

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MaRDI profile type

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The Critical Points of a Function of n Variables

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Closed extremals. I

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Sufficient conditions in the problem of Lagrange with fixed end points

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Sufficient Conditions in the Problem of Lagrange with Variable End Conditions

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A Characterization of Fields in the Calculus of Variations

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Does Instability Imply Transitivity?

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On Certain Invariants of Closed Extremals

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The critical point theory under general boundary conditions

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Sufficient Conditions in the Problem of Lagrange Without Assumptions of Normalcy

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Instability and transitivity

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Abstract Critical Sets

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Generalized Concavity Theorems

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Three Theorems on the Envelop of Extremals

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Functional Topology and Abstract Variational Theory

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Critical point theory under general boundary conditions

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Singular Quadratic Functionals

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A special parameterization of curves

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Functional topology and abstract variational theory

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The index theorem in the calculus of variations

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Functional Topology and Abstract Variational Theory

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Symbolic Dynamics

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The existence of minimal surfaces of general critical types

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Symbolic Dynamics II. Sturmian Trajectories

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Rank and span in functional topology

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The first variation in minimal surface theory

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Unstable Minimal Surfaces of Higher Topological Types

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Minimal surfaces not of minimum type by a new mode of approximation

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Corrections to our paper on the existence of minimal surfaces of general critical types

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Unstable minimal surfaces of higher topological structure

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The Continuity of the Area of Harmonic Surfaces as a Function of the Boundary Representations

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What is Analysis in the Large?

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Manifolds Without Conjugate Points

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Lacunary type number sequences in global analysis

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The variational theory in the large including the ranon-regular case. I. II

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Functional topology

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Unending chess, symbolic dynamics and a problem in semi-groups

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Topological methods in the theory of functions of a single complex variable. I. Deformation types of locally simple plane curves. II. Boundary values and integral characteristics of interior transformations and pseudo-harmonic functions

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The topology of pseudo-harmonic functions

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George David Birkhoff and his mathematical work

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Topological methods in the theory of functions of a complex variable

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Deformation classes of meromorphic functions and their extensions to interior transformations

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A positive, lower semi-continuous, non-degenerate function on a metric space

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The Fréchet Variation and the Convergence of Multiple Fourier Series

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Integral Representations of Bilinear Functionals

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Functionals of Bounded Frechet Variation

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Functionals \(F\) bilinear over the product \(A\times B\) of two pseudo- normed vector spaces. II. Admissible spaces \(A\)

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A characterization of the bilinear sums associated with the classical second variation

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L-S-homotopy classes on the topological image of a projective plane

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The Fréchet Variation, Sector Limits, and Left Decompositions

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A new implication of the Young-Pollard convergence criteria for a Fourier series

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Homology Relations on Regular Orientable Manifolds

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Contour Equivalent Pseudoharmonic Functions and Pseudoconjugates

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Homotopy and homology related to the Schoenflies problem

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The existence of pseudoconjugates on Riemann surface

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The generalized Fréchet variation and Riesz-Young-Hausdorff type theorems

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Conjugate Nets, Conformal Structure, and Interior Transformations on Open Riemann Surfaces

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Curve families \(F^*\) locally the level curves of a pseudoharmonic function

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Semi-normed vector spaces with duals of integral type

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Bimeasures and their integral extensions

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\(C\)-bimeasures \(\Lambda\) and their superior integrals \(\Lambda^*\)

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THE REPRESENTATION OF A C-BIMEASURE ON A GENERAL RECTANGLE

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La construction topologique d'un réseau isotherme sur une surface ouverte

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\(C\)-Bimeasures \(\varLambda\) and their integral extensions

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Products of a C-Measure and a Locally Integrable Mapping

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DIFFERENTIABLE MAPPINGS IN THE SCHOENFLIES PROBLEM

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Vector subspaces \(A\) of \(C^E\) with duals of integral type

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The existence of vector function spaces with duals of integral type

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The local characterization of vector function spaces with duals of integral type

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Topologically non-degenerate functions on a compact \(n\)-manifold \(M\)

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FIELDS OF GEODESICS ISSUING FROM A POINT

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The existence of polar non-degenerate functions on differentiable manifolds

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The existence of non-degenerate functions on a compact differentiable \(m\)-manifold \(M\)

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An explicit solution of the Schoenflies extension problem

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A SINGULARITY IN THE SCHOENFLIES EXTENSION

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The dependence of the Schoenflies extension on an accessory parameter

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Conical singular points of diffeomorphisms

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Schoenflies extensions of analytic families of diffeomorphisms

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The Schoenflies extension in the analytic case

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Schoenflies problems

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Schoenflies extensions without interior differential singularities

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Diffeomorphisms of manifolds

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Schoenflies extensions and differentiable isotopies

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Harmonic extensions

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THE DEPENDENCE OF THE SCHOENFLIES EXTENSION ON AN ACCESSORY PARAMETER (THE TOPOLOGICAL CASE)

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THE BOWL THEOREM AND A MODEL NONDEGENERATE FUNCTION

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The elimination of critical points of a non-degenerate function on a differentiable manifold

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Quadratic forms \(\Theta\) and \(\Theta\)-fibre-bundles

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THE REDUCTION OF A FUNCTION NEAR A NONDEGENERATE CRITICAL POINT

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Diffeomorphism inducing automorphisms of \(\pi_ 1 (T_ p)\)

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Non-degenerate functions on abstract differentiable manifolds \(M_ n\)

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NONDEGENERATE REAL-VALUED DIFFERENTIABLE FUNCTIONS

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Focal sets of regular manifolds \(M_{n-1}\) in \(E_ n\)

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BOWLS, <i>f</i> -FIBER BUNDLES, AND THE ALTERATION OF CRITICAL VALUES

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Singular homology over \(\mathbb{Z}\) on topological manifolds

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A Setting for A Theorem of Bott

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Equilibrium points of harmonic potentials

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Elementary Quotients of Abelian Groups, and Singular Homology on Manifolds

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Model Families of Quadratic Forms

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Orientation of differentiable manifolds

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Singular homology on an untriangulated manifold

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Axial Presentations of Regular Arcs on M <sub> <i>n</i> </sub>

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Singular quadratic functionals

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<i>F</i> -Deformations and <i>F</i> -Tractions

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Frechet curve classes

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Connectivities R <sub> <i>i</i> </sub> of Fréchet Spaces in Variational Topology

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Topologically nondegenerate functions

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Tractions in critical point theory

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Conjugate points on a limiting extremal

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Tubular presentations π of subsets of manifolds

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Nondegenerate point pairs in global variational analysis

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Topological Methods in the Theory of Functions of a Complex Variable. (AM-15)

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Identifiers

zbMATH Open document ID

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10.1090/S0273-0979-1980-14824-7

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:3922637

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