Topic
Weierstrass factorization theorem
About: Weierstrass factorization theorem is a research topic. Over the lifetime, 899 publications have been published within this topic receiving 21089 citations.
Papers published on a yearly basis
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Papers
Book•
28 Dec 1984
TL;DR: Perrin and Perrin this article showed that square free words and idempotent semigroups can be expressed in terms of free monoids, and the critical factorization theorem of Van der Waerden's theorem.
Abstract: 1. Words D. Perrin 2. Square free words and idempotent semigroups J. Berstel and C. Reutenauer 3. Van der Waerden's theorem J. E. Pin 4. Repetitive mappings and morphisms G. Pirillo 5. Factorizations of free monoids D. Perrin 6. Subwords J. Sakarovitch and I. Simon 7. Unavoidable irregularities in words M. P. Schutzenberger 8. The critical factorization theorem Choffrut 9. Equations in words 10. Rearrangements of words D. Foata 11. Words and trees R. Cori.
1,999 citations
Book•
1 Jan 1980
TL;DR: Bases in Banach Spaces - Schauder Bases Schauder's Basis for C[a,b] Orthonormal Bases in Hilbert Space The Reproducing Kernel Complete Sequences The Coefficient Functionals Duality Riesz Bases The Stability of Bases of Complex Exponentials as mentioned in this paper.
Abstract: Bases in Banach Spaces - Schauder Bases Schauder's Basis for C[a,b] Orthonormal Bases in Hilbert Space The Reproducing Kernel Complete Sequences The Coefficient Functionals Duality Riesz Bases The Stability of Bases in Banach Spaces The Stability of Orthonormal Bases in Hilbert Space Entire Functions of Exponential Type The Classical Factorization Theorems - Weierstrass's Factorization Theorem Jensen's Formula Functions of Finite Order Estimates for Canonical Products Hadamard's Factorization Theorem Restrictions Along a Line - The "Phragmen-Lindelof" Method Carleman's Formula Integrability on a line The Paley-Wiener Theorem The Paley-Wiener Space The Completeness of Sets of Complex Exponentials - The Trigonometric System Exponentials Close to the Trigonometric System A Counterexample Some Intrinsic Properties of Sets of Complex Exponentials Stability Density and the Completeness Radius Interpolation and Bases in Hilbert Space - Moment Sequences in Hilbert Space Bessel Sequences and Riesz-Fischer Sequences Applications to Systems of Complex Exponentials The Moment Space and Its Relation to Equivalent Sequences Interpolation in the Paley-Wiener Space: Functions of Sine Type Interpolation in the Paley-Wiener Space: Stability The Theory of Frames The Stability of Nonharmonic Fourier Series Pointwise Convergence Notes and Comments References List of Special Symbols Index
1,765 citations
TL;DR: In this article, an all-orders, all-logarithms proof of the factorization theorem for the pion electromagnetic form factor in QCD is presented. The proof is based on the analysis of the large momentum behaviour of Feynman diagrams in a parametric representation.
1,169 citations
TL;DR: In this article, a QCD factorization theorem for hard exclusive electroproduction of mesons in QCD was proved for the leading power in Q and all logarithms.
Abstract: We formulate and prove a QCD factorization theorem for hard exclusive electroproduction of mesons in QCD. The proof is valid for the leading power in Q and all logarithms. This generalizes previous work on vector meson production in the diffractive region of small x. The amplitude is expressed in terms of off-diagonal generalizations of the usual parton densities. The full theorem applies to all kinds of meson and not just to vector mesons. The parton densities used include not only the ordinary parton density, but also ! ,
833 citations
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| Year | Papers |
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| 2025 | 1 |
| 2024 | 5 |
| 2023 | 15 |
| 2022 | 70 |
| 2021 | 26 |
| 2020 | 29 |