分析与数学物理 (AMP) 以真实、复杂、谐波的形式发布当前研究成果以及精选的高质量调查文章；几何分析起源于和/或应用于数学物理。该杂志促进这些领域专家之间的对话。

The journal "Analysis and Mathematical Physics" is dedicated to publishing current research findings and selected high-quality survey articles in real, complex, and harmonic forms. The geometric analysis featured in this journal originates from or is applied to mathematical physics, aiming to foster in-depth dialogue among experts in these fields.

《Analysis and Mathematical Physics》期刊致力于以真实、复杂和谐波的形式发布当前的研究成果，以及精选的高质量调查文章。该期刊的几何分析内容源于或应用于数学物理，旨在促进这些领域专家之间的深入对话。

Analysis and Mathematical Physics

Carrie Clark

Richard S. Laugesen

Riesz capacity: monotonicity, continuity, diameter and volume

Riesz容量：单调性、连续性、直径与体积

Abstract The Peetre K-functional is a key object in the development of the real method of interpolation. In this paper we point out a less known relation to wavelet theory and its applications to approximation theory and engineering applications. As a new basis for further development of these studies we present some known properties in the form appropriate for further applications and then derive new information and prove some new results concerning the K-functional and its close relation to (almost) quasi-monotone functions, various indices and interpolation theory. In particular, we extend and unify some known function parameter generalizations of the standard real interpolation spaces $$(A_0, A_1)_{\theta ,q}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>0</mml:mn> </mml:msub> <mml:mo>,</mml:mo> <mml:msub> <mml:mi>A</mml:mi> <mml:mn>1</mml:mn> </mml:msub> <mml:mo>)</mml:mo> </mml:mrow> <mml:mrow> <mml:mi>θ</mml:mi> <mml:mo>,</mml:mo> <mml:mi>q</mml:mi> </mml:mrow> </mml:msub> </mml:math> .

Rune Dalmo

Lars-Erik Persson

Natasha Samko

Old and new on the Peetre K-functional and its relations to real interpolation theory, quasi-monotone functions and wavelets

Peetre K泛函及其与实插值理论、拟单调函数和波的关系的新旧探讨

Natalia Zorii

Balayage, equilibrium measure, and Deny’s principle of positivity of mass for $$\alpha $$-Green potentials

扫掠法、平衡测度与$$\alpha $$-格林势的质量正性原则

Abstract We study, for a continuous linear operator T acting on an F-space X , when the direct sum operator $$T\oplus T$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>⊕</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> </mml:math> is recurrent on the direct sum space $$X\oplus X$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>X</mml:mi> <mml:mo>⊕</mml:mo> <mml:mi>X</mml:mi> </mml:mrow> </mml:math> . In particular: we establish the analogous notion for recurrence to that of (topological) weak-mixing for transitivity/hypercyclicity, namely quasi-rigidity; and we construct a recurrent but not quasi-rigid operator on each separable infinite-dimensional Banach space, solving the $$T\oplus T$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>T</mml:mi> <mml:mo>⊕</mml:mo> <mml:mi>T</mml:mi> </mml:mrow> </mml:math> -recurrence problem in the negative way.

Sophie Grivaux

Antoni López-Martínez

Alfred Peris

Questions in linear recurrence I: the $$T\oplus T$$-recurrence problem

线性递推中的问题 I：$$T\oplus T$$ 递推问题

Spyridon Kakaroumpas

Odí Soler i Gibert

Correction: Preimages under linear combinations of iterates of finite Blaschke products

修正：有限Blaschke积的迭代线性组合下的原像

Abstract We define the family of truncated Laguerre polynomials $$P_n(x;z)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> , orthogonal with respect to the linear functional $$\varvec{\ell }$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mi>ℓ</mml:mi> </mml:mrow> </mml:math> defined by $$\begin{aligned} \left\langle {\varvec{\ell },p}\right\rangle =\int _{0}^zp(x)x^\alpha e^{-x}dx,\qquad \alpha &gt;-1. \end{aligned}$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:mtable> <mml:mtr> <mml:mtd> <mml:mrow> <mml:mfenced> <mml:mrow> <mml:mrow> <mml:mi>ℓ</mml:mi> </mml:mrow> <mml:mo>,</mml:mo> <mml:mi>p</mml:mi> </mml:mrow> </mml:mfenced> <mml:mo>=</mml:mo> <mml:msubsup> <mml:mo>∫</mml:mo> <mml:mrow> <mml:mn>0</mml:mn> </mml:mrow> <mml:mi>z</mml:mi> </mml:msubsup> <mml:mi>p</mml:mi> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> <mml:msup> <mml:mi>x</mml:mi> <mml:mi>α</mml:mi> </mml:msup> <mml:msup> <mml:mi>e</mml:mi> <mml:mrow> <mml:mo>-</mml:mo> <mml:mi>x</mml:mi> </mml:mrow> </mml:msup> <mml:mi>d</mml:mi> <mml:mi>x</mml:mi> <mml:mo>,</mml:mo> <mml:mspace/> <mml:mi>α</mml:mi> <mml:mo>&gt;</mml:mo> <mml:mo>-</mml:mo> <mml:mn>1</mml:mn> <mml:mo>.</mml:mo> </mml:mrow> </mml:mtd> </mml:mtr> </mml:mtable> </mml:mrow> </mml:math> The connection between $$P_n(x;z)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> and the polynomials $$S_n(x;z)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> (obtained through the symmetrization process) constitutes a key element in our analysis. As a consequence, several properties of the polynomials $$P_n(x;z)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>P</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> and $$S_n(x;z)$$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:mrow> <mml:msub> <mml:mi>S</mml:mi> <mml:mi>n</mml:mi> </mml:msub> <mml:mrow> <mml:mo>(</mml:mo> <mml:mi>x</mml:mi> <mml:mo>;</mml:mo> <mml:mi>z</mml:mi> <mml:mo>)</mml:mo> </mml:mrow> </mml:mrow> </mml:math> are studied taking into account the relation between the parameters of the three-term recurrence relations that they satisfy. Asymptotic expansions of these coefficients are given. Discrete Painlevé and Painlevé equations associated with such coefficients appear in a natural way. An electrostatic interpretation of the zeros of such polynomials as well as the dynamics of the zeros in terms of the parameter z are given.

Abbreviation	Anal.Math.Phys.
Journal Impact	1.23
Quartiles(Global)	MATHEMATICS, APPLIED(Q2)

ISSN	1664-235X, 1664-2368
h-index	25

Publication Information	Publisher: Springer Science + Business Media，Publishing cycle: ，Journal Type: journal，Open Access Journals: No
Basic data	Year of publication: 2011，Proportion of original research papers: 100.00%，Self Citation Rate:7.10%， Gold OA Rate: 18.69%

Analysis and Mathematical Physics

Journal Citation Format

A journal article with 1 author

A journal article with 2 authors

A journal article with 3 authors

A journal article with 5 or more authors

Books Citation Format

Thesis Citation Format

Web sites Citation Format

Patent Citation Format

Staying up late manually editing references? ivySCI automatically matches journals and helps you generate references with a single click.

Share Submission Experience

Riesz capacity: monotonicity, continuity, diameter and volume

Old and new on the Peetre K-functional and its relations to real interpolation theory, quasi-monotone functions and wavelets

Balayage, equilibrium measure, and Deny’s principle of positivity of mass for $$\alpha $$-Green potentials

Questions in linear recurrence I: the $$T\oplus T$$-recurrence problem

Correction: Preimages under linear combinations of iterates of finite Blaschke products

Riesz capacity: monotonicity, continuity, diameter and volume

Balayage, equilibrium measure, and Deny’s principle of positivity of mass for $$\alpha $$-Green potentials

Old and new on the Peetre K-functional and its relations to real interpolation theory, quasi-monotone functions and wavelets

Questions in linear recurrence I: the $$T\oplus T$$-recurrence problem

Symmetrization process and truncated orthogonal polynomials