Analytic extrapolation techniques and stability problems in dispersion relation theory

Real and Complex Analysis.

1987 • 11,498 citations

Optimization by Vector Space Methods

1970 • 6,346 citations

Singular Integral Equations

1977 • 4,259 citations

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2003 • 1,701 citations

Pion Scattering Lengths

1966 • 1,682 citations

Interpretation Theory in Applied Geophysics

1966 • 1,423 citations

The Analytic S-Matrix

1966 • 1,091 citations

Theory of the Low-Energy Pion-Pion Interaction

1960 • 799 citations

Nonlinear and Dynamic Programming

1966 • 751 citations

Unstable Particles as Targets in Scattering Experiments

1959 • 493 citations

Leçons d,analyse fonctionnelle

1955 • 485 citations

Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity-I

1966 • 427 citations

Determination of Pion-Nucleon Parameters and Phase Shifts by Dispersion Relations

1963 • 316 citations

Analytic properties of scattering amplitudes as functions of momentum transfer

1958 • 222 citations

Analysis of Partial-Wave Dispersion Relations

1963 • 213 citations

Scattering Theory: Unitarity, Analyticity and Crossing

1969 • 201 citations

Optimized Polynomial Expansion for Scattering Amplitudes

1968 • 186 citations

Real and Complex Analysis

2018 • 185 citations

Méthode de quasi-réversibilbilité et applications

1967 • 184 citations

Absolute upper bounds for ππ scattering

1967 • 164 citations

A new point of view in the analysis of two-body reactions

1972 • 163 citations

Experimental Test of the Pion-Nucleon Forward Dispersion Relations at High Energies

1969 • 146 citations

A stable and convergent extrapolation procedure for the scattering amplitude.—I

1969 • 145 citations

Pion-Nucleon Scattering and Pion-Pion Interactions

1962 • 126 citations

New Determination of the Pion-Nucleon Coupling Constant and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>s</mml:mi></mml:math>-Wave Scattering Lengths

1965 • 116 citations

Determination of Coupling Constants from Poles in Scattering Cross Sections

1968 • 114 citations

Theory of representation of scattering data by analytic functions

1969 • 104 citations

Determination of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mo>−</mml:mo><mml:mi>π</mml:mi></mml:math>Interaction Strength from<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>π</mml:mi><mml:mo>−</mml:mo><mml:mi>N</mml:mi></mml:math>Scattering

1958 • 98 citations

The magnitude of the σ-commutator term in current algebra

1971 • 95 citations

Extension of the axiomatic analyticity domain of scattering amplitudes by unitarity.—II

1966 • 91 citations

A convergent set of integral equations for singlet proton-proton scattering

1961 • 82 citations

A stable and convergent extrapolation procedure for the scattering amplitude

1969 • 78 citations

π+π− elastic cross section from Chew-Low extrapolations of π− p → π+π−n reaction at 2.77 GeV/c

1970 • 75 citations

s-wave pion-nucleon scattering and pion-pion interactions

1962 • 70 citations

Information on low-energy ππ interaction from elastic pion-nucleon phase shifts

1970 • 69 citations

Derivation of Dispersion Relations for Forward Scattering

1957 • 63 citations

Low-energy pion scattering

1961 • 62 citations

Dispersion relations and experimental data

1972 • 58 citations

Extension of Levinson's Theorem to the Relativistic Case

1963 • 56 citations

Prediction of Pion Phase Shifts

1962 • 55 citations

Extension of Axiomatic Analyticity Properties for Particles with Spin, and Proof of Superconvergence Relations

1968 • 53 citations

Extraction of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Λ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Σ</mml:mi><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mi>p</mml:mi></mml:math>…

1971 • 51 citations

Compilation of coupling constants and low-energy parameters

1970 • 48 citations

Pion-Pion Phase Shift and Form Factors in the Decays<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>±</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mo>−</mml:mo></mml:mrow></mml:msup></mml:…

1973 • 47 citations

Consistency between the low-energy pion-pion interaction and pion-nucleon scattering

1972 • 46 citations

Stabilized Numerical Analytic Prolongation with Poles

1970 • 45 citations

Connection between the Wigner Inequalities and Analyticity and Unitarity

1968 • 44 citations

Phase shift analysis of K+p scattering

1972 • 42 citations

Correspondence between Unstable Particles and Poles in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>-Matrix Theory

1968 • 40 citations

TRAITEMENT AUTOMATIQUE DES SONDAGES ELECTRIQUES AUTOMATIC PROCESSING OF ELECTRICAL SOUNDINGS*

1970 • 40 citations

Analyticity Properties and Bounds of the Scattering Amplitudes

1970 • 38 citations

Study of π+π− scattering in π−p → π+π−Xo via a chew low extrapolation

1972 • 37 citations

On the extrapolation of the experimental scattering amplitude to the spectral function region

1962 • 35 citations

Application of Optimized Polynomial Expansions to the Analysis of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>p</mml:mi><mml:mo>−</mml:mo><mml:mi>p</mml:mi></mml:math>Scattering

1970 • 35 citations

A new determination of the πN coupling constantf 2

1969 • 34 citations

Evidence for pion-pion interactions froms-wave pion-nucleon scattering

1961 • 32 citations

A theoretical model-independent determination of the real parts of the K±p forward scattering amplitudes

1971 • 32 citations

The Past Decade in Particle Theory

1974 • 32 citations

Weight functions and subtractions in dispersion theory

1970 • 32 citations

Singular Integral Equations

2015 • 31 citations

On the merging of analyticity and statistics in extrapolations and representations of data

1971 • 31 citations

Construction of reproducing kernels for analytic Hilbert spaces

1973 • 28 citations

Pion-nucleon phase shifts below 270 MeV

1971 • 27 citations

Optimal analytic extrapolation for the scattering amplitude from cuts to interior points

1973 • 24 citations

Approximation of scattering amplitudes using analyticity and experimental data

1973 • 21 citations

Description of High-Energy Scattering

1971 • 21 citations

On the numerical analytic continuation of the proton electromagnetic form factors

1965 • 20 citations

Determination of the Δ(1236) pole position

1973 • 20 citations

Data representation and modified dispersion relations

1971 • 20 citations

New methods in the analysis of π—N scattering

1971 • 19 citations

On positive spectral functions in the Mandelstam representation

1969 • 18 citations

Nonlinear and Dynamic Programming

1965 • 18 citations

On analytic extrapolation of form factors and scattering amplitudes (II) Extrapolation up to the boundary

1969 • 17 citations

On the analytic extrapolation of scattering amplitudes in L2 norm

1973 • 17 citations

Optimal information for the pion form factor from analyticity and experimental data

1973 • 16 citations

Optimal bounds for the pion form factor from analyticity and experimental data

1973 • 16 citations

A rigorous lower bound for the maximum of the amplitude from error-affected data

1972 • 14 citations

ϵ-meson coupling constants and scale invariance breaking

1972 • 14 citations

On the best representation of scattering data by analytic functions inL 2-norm with positivity constraints

1974 • 14 citations

Stability problems in analytic continuation

2005 • 13 citations

A method to determine resonance parameters from partial-wave amplitudes

1973 • 13 citations

A determination of the forward K±p B amplitude and the hyperon coupling constants

1973 • 13 citations

Mathematics of the N/D Method

1970 • 13 citations

On determinations of the KN effective coupling constant from forward amplitudes

1973 • 12 citations

Determination of pion-nucleon coupling constant by analytic extrapolation

1971 • 12 citations

Dispersion relation predictions for π, p scattering

1960 • 11 citations

Optimized data extrapolation off the boundary of an analytic function

1972 • 11 citations

Stable extrapolation of scattering amplitudes using unitarity

1973 • 10 citations

A note on inverse problems in potential scattering

1969 • 10 citations

A theoretical model-independent determination of the real parts and zeros of the pp, p forward spin-independent scattering amplitudes

1972 • 8 citations

Exact Upper Bound for Pion-Nucleon Coupling Constant

1972 • 8 citations

Testing of analyticity of the πN forward scattering amplitude and the determination of the πN coupling constant

1972 • 7 citations

Short range πN P-wave interactions. Comparison with high-energy backward Regge models

1972 • 7 citations

An optimal extrapolation of π-π amplitudes around v=t=0

1973 • 6 citations

Extrapolation of scattering amplitudes IV. Extrapolation off a part of the boundary to the rest of the boundary

1970 • 6 citations

On the consistency of πN forward-scattering data with analyticity and crossingforward-scattering data with analyticity and crossing

1972 • 6 citations

K+p dispersion relations. I. Scattering below 1.3 GeV/c

1972 • 6 citations

On the analytic extrapolation from boundary and interior points

1972 • 5 citations

Stable analytic continuation and unitarity

1974 • 5 citations

Implications of a large pionic charge radius

1972 • 5 citations

Optimized conformal mapping applied to the Lippmann-Schwinger equation

1973 • 5 citations

Extrapolation of the proton form factor into the timelike region

1970 • 5 citations

Optimization of collision amplitudes under constraints

2005 • 5 citations

Low-energy ambiguities of the ππ isospin-zero S-wave compared with πN S-wave analysis

1972 • 5 citations

Phenomenological J-plane singularities of amplitudes at T = 0

1972 • 4 citations

Optimal bounds for Regge-Pole parameters from low-energy data

1974 • 4 citations

The use of unitarity bounds for a stable extrapolation of low energy data

1973 • 4 citations

The Schur-Pick-Nevanlinna interpolation theory - an alternative to the N/D equations

1973 • 3 citations

Large deviations from the scaling law for the proton form factor in the timelike region

1970 • 3 citations

Direct-channel Regge poles as a means of treating the unphysical region in finite-energy sum rules

1971 • 2 citations

CDD poles, inelasticities and optimization of equations

1974 • 2 citations

πN scattering amplitudes at intermediate and high energies

2005 • 2 citations

A note on the analytic continuation of the scattering amplitude

1968 • 2 citations

Optimization of collision amplitudes under constraints

1973 • 1 citations