Analysis

The Analysis group at King's College London is one of the most active and successful analysis groups in the UK. The research interests of the group focus mainly on operator theory, spectral theory, PDEs, harmonic analysis, and random analytic functions. The group has an exceptional research track record, wide ranging collaborations, and excellent PhD completion rate. The central location of King's College London gives the group additional benefits of being at the heart of the London Analysis community.

The origins of the group.

Members

Ben Blakesley

PhD Student

Jeremiah Buckley

Lecturer in Analysis

E Brian Davies

Emeritus Professor in Analysis and Fellow of the Royal Society

John Erdos

Emeritus Reader in Mathematics

Ben Krause

Lecturer

Jean Lagacé

Lecturer in Pure Mathematics

Maximilian O'Keeffe

PhD Student

Alexander Pushnitski

Professor in Analysis

Simon Scott

Professor in Analysis

Eugene Shargorodsky

Professor in Analysis

Christos Tantalakis

PhD student

Zoe Wyatt

Lecturer in Analysis

Remark on singular integral operators of convolution type on rearrangement-invariant Banach function spaces
Shargorodsky, E. & Karlovych, O., 31 Aug 2022, (Accepted/In press) In: Real Analysis Exchange . Research output: Contribution to journal › Article › peer-review
On interpolation of reflexive variable Lebesgue spaces on which the Hardy-Littlewood maximal operator is bounded
Shargorodsky, E., Diening, L. & Karlovich, A., 11 Jun 2022, In: Georgian Mathematical Journal. 29, 3, p. 347-352 6 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1515/gmj-2022-2152
On the interpolation constants for variable Lebesgue spaces
Shargorodsky, E. & Karlovych, O., 27 May 2022, (Accepted/In press) In: Mathematische Nachrichten. Research output: Contribution to journal › Article › peer-review
The spectrum of some Hardy kernel matrices
Pushnitski, A., 12 May 2022, (Accepted/In press) In: ANNALES- INSTITUT FOURIER. Research output: Contribution to journal › Article › peer-review
Spectral asymptotics for a family of LCM matrices
Pushnitski, A. & Hilberdink, T., 20 Apr 2022, (Accepted/In press) In: St Petersburg Mathematical Journal . Research output: Contribution to journal › Article › peer-review
On the essential norms of singular integral operators with constant coeffcients and of the backward shift
Shargorodsky, E. & Karlovich, A., 22 Mar 2022, In: Proceedings of the American Mathematical Society. Ser. B 9 , p. 60-70 Research output: Contribution to journal › Article › peer-review
On the essential norms of singular integral operators with constant coefficients and of the backward shift
Karlovych, O. & Shargorodsky, E., 22 Mar 2022, In: Proceedings of the American Mathematical Society, Series B. 9, p. 60-70 11 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1090/bproc/118
On the weak convergence of shift operators to zero on rearrangement-invariant spaces
Shargorodsky, E. & Karlovich, A., 22 Mar 2022, (E-pub ahead of print) In: Revista Matemática Complutense. 31 p. Research output: Contribution to journal › Article › peer-review
A lower estimate for weak-type Fourier multipliers
Karlovich, A. & Shargorodsky, E., 4 Mar 2022, In: Complex Variables and Elliptic Equations. 67, 3, p. 642-660 19 p. Research output: Contribution to journal › Article › peer-review. DOIs: https://doi.org/10.1080/17476933.2021.1958796
Toeplitz operators with non-trivial kernels and non-dense ranges on weak Hardy spaces
Shargorodsky, E. & Karlovich, A., 17 Feb 2022, (Accepted/In press) Toeplitz Operators and Random Matrices: In Memory of Harold Widom. Basor, E., Böttcher, A., Ehrhardt, T. & Tracy, C. (eds.). Birkhaeuser Publishing Ltd, 12 p. Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

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Seminars

The London Analysis Seminar is a joint seminar series held on Thursdays (during term time) by the analysis groups at King's College, Imperial College, University College and Queen Mary College.

The Paris-London Analysis Seminars are held four times a year: twice in London and twice in Paris.

The King's College Analysis Seminars are an informal series of talks held at King's College London.These seminars normally take place on alternate Thursdays (when the London Analysis Seminar is not running).

Past events

One-day workshop in the memory of Professor Yuri Safarov

This is an annual event attracting leading analysts working in the areas related to Yuri Safarov's research. The workshop takes place annually in mid-January and was first held in 2018.

Yuri Safarov

Recent Trends in PDE

The conference which took place in January 2018 was on the field of partial differential equations, with an emphasis on problems motivated by mathematical physics. Recent progress and important open problems were discussed and the event aimed to highlight some of the beautiful mathematical developments in this field over recent years.

Recent trends in PDE

Spectral theory of Hankel operators and related topics

Research workshop at King's College held in November 2017.

Spectral theory of Hankel operators and related topics

Brian Davies' 70th birthday Conference

In recognition of Brian Davies' 70th birthday a conference took place in October 2014, with themes related to his research.

Brian Davies 70th Birthday Conference

Spectral theory of orthogonal polynomials

An informal postgraduate level lecture course at King's College London, Spring 2014. Lecturer: Professor Barry Simon (California Institute of Technology)

Spectral theory of orthogonal polynomials