Gustafsson, Björn
Published in
Analysis and Mathematical Physics

The author, who was a student and colleague of Harold S. Shapiro, gives some personal memories from Shapiro’s time as a professor at KTH, Stockholm, 1972-2021.

Kraus, Daniela Moucha, Annika Roth, Oliver
Published in
Analysis and Mathematical Physics

We prove a sharp Bernstein-type inequality for complex polynomials which are positive and satisfy a polynomial growth condition on the positive real axis. This leads to an improved upper estimate in the recent work of Culiuc and Treil (Int. Math. Res. Not. 2019: 3301–3312, 2019) on the weighted martingale Carleson embedding theorem with matrix weig...

Bögli, Sabine Kennedy, James B. Lang, Robin
Published in
Analysis and Mathematical Physics

We study the spectrum of the Robin Laplacian with a complex Robin parameter α\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\alpha $$\end{document} on a bounded Lipsch...

Gardiner, Stephen J. Sjödin, Tomas
Published in
Analysis and Mathematical Physics

Gustafsson and Lin recently published a significant result concerning Laplacian growth problems that start from a simply connected planar domain. However, the validity of their result depends on the verification of a particular conjecture. This paper provides the missing proof.

Friedman, Yaakov Peralta, Antonio M.
Published in
Analysis and Mathematical Physics

There are six different mathematical formulations of the symmetry group in quantum mechanics, among them the set of pure states P\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{do...

Nunokawa, Mamoru Sokół, Janusz
Published in
Analysis and Mathematical Physics

Jack’s Lemma says that if f(z) is regular in the disc |z|≤r\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$|z|\le r$$\end{document}, f(0)=0\documentclass[12pt]{minimal}...

Lemm, Marius Sutter, David
Published in
Analysis and Mathematical Physics

Lyapunov exponents characterize the asymptotic behavior of long matrix products. In this work we introduce a new technique that yields quantitative lower bounds on the top Lyapunov exponent in terms of an efficiently computable matrix sum in ergodic situations. Our approach rests on two results from matrix analysis—the n-matrix extension of the Gol...

Gupta, Preeti Hans, Sunil Mir, Abdullah
Published in
Analysis and Mathematical Physics

The main purpose of this paper is to established the modulus of derivative of rational functions r(z) having all its zeros in |z|≤k≤1,\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \beg...

Phan, Chi Skrzypek, Leslaw You, Yuncheng
Published in
Analysis and Mathematical Physics

A new mathematical model for complex neural networks of the partly diffusive Hindmasrh-Rose equations with boundary coupling is proposed. Through analysis of absorbing dynamics for the solution semiflow, the asymptotic synchronization of the complex neuronal networks at a uniform exponential rate is proved under the condition that stimulation signa...

Zhang, Ran Yang, Chuan-Fu
Published in
Analysis and Mathematical Physics

In this paper we study the impulsive Dirac operator with discontinuity and prove uniqueness theorems from introduced new supplementary data. It is shown that the potential on the whole interval can be uniquely determined by these given data.