Search results

{{Short description|Summability method for a class of divergent series}} ...series related to [[Lambert series]] specially relevant in analytic number theory. ...

...y of resurgent functions and alien calculus''. The theory evolved from the summability of divergent series (see [[Borel summation]]) and treats [[analytic functio ...ifferential equations]], in [[perturbation theory]] and in [[quantum field theory]]. ...

...m]].<ref name="Knopp"/><ref>Johann Boos: ''Classical and Modern Methods in Summability''. Oxford University Press, 2000, ISBN 9780198501657, p. 9</ref> ...

| known_for = Number Theory, Cryptography, Analysis She is the author of the textbook ''Number Theory and Its Applications to Cryptography'' (Cuttack: Kalyani Publishers, 2000). ...

...duced by [[Yakov Zeldovich]] in 1961.<ref>Zel’Dovich, Y. B. (1961). On the theory of unstable states. Sov. Phys. JETP, 12, 542.</ref> Zeldovich was originall ...pruzhenko, S. V. E. (2002). On the Zel’dovich regularization method in the theory of quasistationary states. Journal of Experimental and Theoretical Physics ...

...| first1=Giovanni | last2=Gerretsen | first2=Johan | title=Lectures on the theory of functions of a complex variable. I. Holomorphic functions | publisher=P. [[Category:Summability methods]] ...

...e university press.</ref><ref>Chapman, S. (1911). On the general theory of summability, with application to Fourier's and other series. Quarterly Journal, 43, 1-5 ...

...man [[Number theory|number theorist]] [[Edmund Landau]]. The kernel is a [[summability kernel]] defined as:<ref name=":0">{{Cite web |last=Terras |first=Audrey |d ...

...950 and 1957 contributed to [[fractional integration and differentiation]] theory.<ref>{{Harvnb|Sargent|1950a}}, {{Harvnb|Sargent|1950b}} and {{Harvnb|Sargen |title=On the summability ''(C)'' of allied series and the existence of <math>\textstyle (CP)\int\lim ...

...oulli numbers of the second kind and for the Nörlund numbers''.] J. Number Theory, vol. 128, pp. 2951–2962, 2008.</ref><ref name="kowa1">V. Kowalenko. [https ...=2015 | last1=Blagouchine | first1=Iaroslav V. | journal=Journal of Number Theory | volume=148 | pages=537–592 | arxiv=1401.3724 }}</ref> More complicated se ...

...w σ-algebras arise in ([[Kolmogorov's axioms|Kolmogorov's]]) [[probability theory]], where real-valued functions on the [[sample space]] {{math|&Omega;}} are == Appearances in measure theory == ...

...itle=On the measurable dynamics of real rational functions|journal=Ergodic Theory and Dynamical Systems|volume=23|issue=3|pages=957–983|year=2003|last1=Shen| ...173|title=Summability implies Collet–Eckmann almost surely|journal=Ergodic Theory and Dynamical Systems|volume=34|issue=4|pages=1184–1209|year=2014|last1=Gao ...

...ef>{{cite book |last1=William Feller |title=An Introduction to Probability Theory and Its Applications, Vol. 2 |date=1971 |publisher=Wiley |location=New York Both the extensions and applications of the theory of absolutely monotonic functions derive from theorems. ...

| fields = Harmonic analysis<br>Operator theory ...Washington University, publishing mainly in harmonic analysis and operator theory. Washington University holds a lecture series given by Hirschman, with one ...

...is to catalog new, interesting, and useful identities related to [[number theory|number-theoretic]] divisor sums, i.e., sums of an [[arithmetic function]] o ...and b-sides''" of both well established and semi-obscure [[analytic number theory]] notes and techniques and the papers and work of the contributors. The ide ...

*{{Citation | last1=Babenko | first1=K. Ivan | title=An inequality in the theory of Fourier integrals |mr=0138939 | year=1961 | journal=Izvestiya Akademii N ...H. | author1-link=William Henry Young | title=On the Determination of the Summability of a Function by Means of its Fourier Constants | doi=10.1112/plms/s2-12.1. ...

...rst2=Michael D. |date=December 1978 |title=Toward Applicable Social Choice Theory: A Comparison of Social Choice Functions under Spatial Model Assumptions |u ...5. The title may be translated as "Essay on the application of probability theory to majority voting".</ref> ...

{{Short description|Representation theory of the symplectic group}} ...of the representation leads to a [[semigroup]] of [[contraction (operator theory)|contraction operators]], introduced as the '''oscillator semigroup''' by [ ...