Special Issue "Applications of Harmonic Analysis, Fourier Analysis, Differential Equation and Related Classical and Modern Analysis"

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Difference and Differential Equations".

Deadline for manuscript submissions: closed (31 July 2023) | Viewed by 327

Special Issue Editors

Department of Mathematics and Statistics, MacEwan University, Edmonton, AB T5J2P2, Canada
Interests: harmonic analysis; partial differential equation; potential analysis; statistics; robust design
1. Department of Mathematics and Statistics, MacEwan University, Edmonton, AB T5J2P2, Canada
2. Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton, AB T6G2G1, Canada
Interests: robustness; experimental design; spatial statistics; applied mathematics
Dr. Pengtao Li
E-Mail Website
Guest Editor
School of Mathematics and Statistics, Qingdao University, Qingdao 266071, China
Interests: harmonic analysis, partial differential equations

Special Issue Information

Dear Colleagues,

Classical and modern analysis have stimulated extensive work in various areas of mathematics. Deep understanding and precise analysis of problems in natural sciences and applied sciences cannot generally be achieved without the tools from classical and modern analysis. This Special Issue invites original contributions surrounding new developments and applications of classical and modern analysis.

Potential topics include, but are not limited to: real analysis, complex analysis, functional analysis, differential equation, measure theory, harmonic analysis, Fourier analysis, calculus of variations, geometric analysis, stochastic calculus, fractional calculus, set-valued analysis, convex analysis and matrix analysis.

Dr. Zhichun Zhai
Dr. Rui Hu
Dr. Pengtao Li
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.


  • operator theory
  • function space
  • maximal function
  • singular integral
  • Littlewood&ndash
  • Paley theory
  • Sobolev space
  • Besov space
  • Caleson measure
  • Sobolev inequality
  • integral inequality
  • capacity
  • well-posedness
  • regularity
  • stability
  • controllability
  • fractional calculus
  • fractional differential equation
  • Navier&ndash
  • Stoke equation
  • Euler equation
  • Schr&ouml
  • dinger equation
  • calculus of variation
  • quantum mechanics
  • partial differential equation
  • functional differential equation
  • impulse differential equation
  • delayed differential equation
  • mathematical biology
  • mathematical epidemiology
  • quaternion matrix equation
  • matrix equation
  • control system engineering
  • optimal transportation
  • generalized convexity
  • set-value analysis
  • nonlinear optimization
  • stochastic optimization
  • functional data analysis
  • regression analysis
  • statistical learning
  • robust statistics
  • optimal design
  • algebraic statistic
  • spatial statistic
  • data science

Published Papers

There is no accepted submissions to this special issue at this moment.
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