Proposals for special sessions in Macau

- Advances in fractional calculus and applications
**Organizers:**Carlo Cattani (Salerno), Xiao-Jun Yang (Xuzhou),

Fethi Bin Muhammad Belgacem (Al-Ardhia)**E-mail addresses:**ccattani@unisa.it , dyangxiaojun@163.com , fbmbelgacem@gmail.com**Short description:**This session deals with recent developments on the theory of fractional calculus and applications. Particular attention will be paied to the applicability of this new research field in various branches of pure and applied mathematics. In particular, we will mainly focus on recent results in engineering applications, such as continuum mechanics, physics as quantum mechanics, signal analysis, and in all research fields where nonlinear dynamics occurs and several tools of nonlinear analysis are required. - Analytic and harmonic function spaces and their operators
**Organizers:**Turgay Kaptanoğlu (Ankara)**E-mail addresses:**kaptan@fen.bilkent.edu.tr**Short description:**Analytic and harmonic function spaces include, but not limited to, Bergman, Besov, Dirichlet, Bloch, Lipschitz,*Q*, Hardy, Sobolev, Fock spaces studied mainly on familiar domains such as the ball. The operators include, but not limited to, Töplitz, Hankel, composition, multiplication, Cesaro operators. Other topics of interest are Carleson measures, Möbius-invariance, extremal problems, boundary behavior, compactness criteria, interpolation, zero sets, etc._{p} - Special interest group: IGCA

Complex-analytic methods for applied sciences**Organizers:**V.Mityushev (Krakow), S.Rogosin (Minsk)**E-mail addresses:**vmityushev@gmail.com, rogosinsv@gmail.com**Short description:**The main attention will be paid to analytic-type results in complex analysis, especially those which have applications in mathematical physics, mechanics, chemistry, biology, medicine, economics etc. Among the methods under consideration are: boundary value problems for holomorphic and harmonic functions and their generalizations, singular integral equations, potential analysis, conformal mappings, functional equations, entire and meromorphic functions, elliptic and doubly periodic functions etc. Applications in fluid mechanics, composite materials, porous media, hydro- aero- and thermo-dynamics, elasticity, elasto-plasticity, will be the most considered at the session. - Complex and functional-analytic methods for differential equations and applications
**Organizers:**H. Begehr (Berlin), Du Jinyuan (Wuhan), Liu Hua (Tianjin), Wang Yufeng (Wuhan)**E-mail addresses:**begehrh@zedat.fu-berlin.de, jydu@whu.edu.cn, daliuhua@163.com,

whyfwang@hotmail.com**Short description:**This session is one of the most frequented ones in the past 9 ISAAC congresses. Initial and boundary value problems for linear and nonlinear differential equations and applications are main subjects of the presentations. Complex methods serve to construct explicit solutions to linear problems in the plane with generalizations to higher dimensions, while functional-analytic tools are applied to treat nonlinear equations with linear or nonlinear conditions. Wide applications from integral equations up to economical problems are welcome. - Complex geometry
**Organizers:**A. Schmitt (Berlin)**E-mail addresses:****Short description:**This section is devoted to complex analytic and algebraic geometry. Special emphasis will be given to results which use or are inspired by analytic techniques. Topics include: - higher dimensional varieties - moduli spaces - character varieties - mathematical physics. - Special interest group: IGCVPT

Complex variables and potential theory**Organizers:**Tahir Aliyev Azeroglu (Gebze), Anatoly Golberg (Holon),

Massimo Lanza de Cristoforis (Padova), Sergiy Plaksa (Kiev)**E-mail addresses:**aliyev@gyte.edu.tr, golberga@hit.ac.il, mldc@math.unipd.it,

plaksa62@gmail.com**Short description:**This session is devoted to the wide range of directions of complex analysis, potential theory, their applications and related topics. - Functions theory of a complex variable
**Organizers:**Yuefei Wang（Beijing), Weixiao Shen (Singapore), Hasi Wulan (Shantou),

Wenjun Yuan (Guangzhou)**E-mail addresses:**wangyf@math.ac.cn, matsw@nus.edu.sg, wulan@stu.edu.cn, wjyuan1957@126.com**Short description:**This session will provide a forum for recent trends and developments in functions theory of a complex variable and related topics, including, but not limited to, entire and meromorphic functions, quasiconformal mappings and Teichmüller spaces, complex dynamical systems, geometric function theory, and complex differential equations. - Functions theory of several complex variables
**Organizers:**Zhi-Hua Chen (Shanghai), Kit Ian Kou (Macao), Ming-Sheng Liu (Guangzhou), and

Xiangyu Zhou (Beijing)**E-mail addresses:**93239@tongji.edu.cn, kikou@umac.mo, liumsh@scnu.edu.cn, xyzhou@math.ac.cn**Short description:**The Session intends to present the most recent developments in functions theory of one and several complex variables. Among others, the following topics shall be included: value distribution theory of meromorphic functions and meromorphic mappings, geometric theory of holomorphic functions, spaces of holomorphic functions and various operators, complex dynamical systems, quasiconformal mappings and Teichmüller spaces, analysis and geometry of bounded domains,*L*^{2}method and applications in complex geometry, Clifford analysis and related topics. - Special interest group: IGGF

Generalized functions**Organizers:**Michael Oberguggenberger (Innsbruck), Stevan Pilipovic (Novi Sad)**E-mail addresses:**michael.oberguggenberger@uibk.ac.at, stevan.pilipovic@gmail.com**Short description:**The session is devoted to theory and application of generalized functions, which comprise, among others, distributions, ultradistributions, hyperfunctions and algebras of generalized functions. Applications include, but are not restricted to, linear and nonlinear partial differential equations, asymptotic analysis, geometry, mathematical physics, stochastic processes, and harmonic analysis, both in theoretical and numerical aspects. The session is open to contributions on any aspect of generalized functions and their applications. - Special interest group: IGPDE

Harmonic analysis and PDEs**Organizers:**M. Ruzhansky (London), M. Sugimoto (Nagoya), Baoxiang Wang (Beijing), J. Wirth (Stuttgart)**E-mail addresses:**m.ruzhansky@imperial.ac.uk**Short description:**This session will focus on the interplay between harmonic analysis, operator theory and applications to partial differential equations. - Special interest group: IGITRK

Integral transforms and reproducing kernels**Organizers:**Saburou Saitoh (Aveiro), Juri Rappoport (Moscow)**E-mail addresses:**jmrap@landau.ac.ru, saburou.saitoh@gmail.com**Short description:**Integral transforms and reproducing kernels are the fundamental concepts and methods; indeed, they will appear in complex analysis, functional analysis, operator theory, partial differential equations, stochastic theory, harmonic analysis, approximation theory, sampling theory, inverse problems, learning theory, support vector method, kernel method, discretization principle, Tikhonov regularization, integral equations, interpolation problems, matrix theory, inequalities, orthogonal systems, graph theory and so on. We expect to gather related mathematicians and to discuss our research topics and their applications from various viewpoints on the fundamental concept. - Numerical analysis of PDEs
**Organizers:**Alexander Ostermann (Innsbruck)**E-mail addresses:**alexander.ostermann@uibk.ac.at

https://numerical-analysis.uibk.ac.at/a.ostermann**Short description:**An appropriate numerical analysis of partial differential equations (PDEs) is tightly entangled with the corresponding analytic theory. For example, the explicit characterization of the domains of the involved differential operators allows one to predict the precise orders of convergence in time integration, the concept of mild solutions relates strongly to exponential integrators. The main intention of this special session is to foster interdisciplinary discussions between the two sides: analysts will learn about interesting (analytical) questions that arise in numerical analysis, and numerical analysts will see new problems and techniques from analysis. Talks from all fields of numerical PDEs that fit into this concept are welcome. - Special interest group: IGPDE

Nonlinear partial differential equations**Organizers:**V. Georgiev (Pisa), T. Ozawa (Tokyo)**E-mail addresses:**georgiev@dm.unipi.it, txozawa@waseda.jp**Short description:**The session intends to discuss various nonlinear partial differential equations in mathematical physics. Among possible arguments the following ones shall be discussed: existence and qualitative properties of the solutions, existence of wave operators and scattering for these problems, stability of solitary waves and other special solutions. - Special interest group: IGPDO

Pseudo-differential operators**Organizers:**J. Toft (Växjö), M.W. Wong (Toronto)**E-mail addresses:**mwwong@mathstat.yorku.ca, joachim.toft@lnu.se**Short description:**This special session is on the analysis, applications and computations of pseudo-differential operators, which have been understood in a very broad sense including, but not limited to, harmonic analysis, functional analysis, operator theory and algebras, partial differential equations, geometry, mathematical physics and applications in engineering, geophysics and biomedical sciences. - Qualitative behavior of PDEs in fluid mechanics and related topics
**Organizers:**Yaguang Wang (Shanghai), Yachun Li (Shanghai), Tong Yang (HongKong)**E-mail addresses:**ygwang@sjtu.edu.cn, ycli@sjtu.edu.cn, matyang@cityu.edu.hk**Short description:**The purpose of this conference is to bring together mathematicians from all over the world in the area of nonlinear partial differential equations in fluid mechanics to present their recent research results, to exchange new ideas and to discuss current challenging issues. The main topics include: conservation laws, Euler equations and Navier-Stokes equations, Boltzmann equations, equations of mixed type, and free boundary problems. - Special interest group: IGCQA

Quaternionic and clifford analysis**Organizers:**S. Bernstein (Freiberg), U. Kähler (Aveiro), I. Sabadini (Milano), F. Sommen (Gent)**E-mail addresses:**bernstei@math.tu-freiberg.de, ukaehler@ua.pt, irene.sabadini@polimi.it,

fs@cage.ugent.be**Short description:**Quaternionic and Clifford analysis are higher dimensional analogues of complex function theory and represent a function theory in R^{n}. In the last years quaternionic and Clifford analysis spread into several different directions such as continuous and discrete theory, slice-monogenic functions as well as new applications to various fields. This session aims to present recent advances in the field of continuous and Clifford analysis as well as its applications in numerical analysis of PDE’s, signal and image processing, operator theory, and physics to a broad audience. - Random matrices
**Organizers:**Yang Chen (Macau)**E-mail addresses:**yangbrookchen@yahoo.co.uk**Short description:**Random matrices which traces its origin in multi-variate statistics and nuclear physics, is an area of active, contemporary research, which encompasses areas of pure and applied mathematics; for example one finds its application in the information theory of wireless communications and the free probability aspect of random matrices. - Recent advances in sequence spaces
**Organizers:**P.D.Srivastava (Kharagpur), B.C. Tripathy (Assam)**E-mail addresses:**pds@maths.iitkgp.ernet.in, tripathybc@yahoo.com**Short description:**Recently sequence spaces have been investigated applying different techniques and tools. As a result of which new potential topics of research have emerged. The main topics (included but are not limited to) of this session are vector-valued sequence spaces, sequence spaces defined by Orlicz and modulus functions, characterization of matrix classes (both for matrices of scalars and operators), spectra of matrix operators, Kothe-Toeplitz duals of sequence spaces, sequences of fuzzy numbers and density & summability. - Special interest group: IGPDE

Recent progress in evolution equations**Organizers:**Marcello D’Abbicco (Bari, Sao Paulo), Fumihiko Hirosawa (Yamaguchi),

Michael Reissig (Freiberg)**E-mail addresses:**m.dabbicco@gmail.com, hirosawa@yamaguchi-u.ac.jp, reissig@math.tu-freiberg.de**Short description:**The goal of the session is to discuss the state-of-the-art of qualitative properties of solutions of linear and non-linear evolution models. We have in mind results for dispersive equations, σ-evolution equations and parabolic equations as well. Among other things well-posedness, asymptotic profile, blow-up behavior and the influence of low regular coefficients are of interest. - Signal and image analysis and application
**Organizers:**Qiuhui Chen (Guangzhou), Pei Dang (Macao)**E-mail addresses:**chenqiuhui@hotmail.com, pdang@must.edu.mo**Short description:**All aspects of signals of one and several variables, including image signals, are interested. Talks should be based on new theoretical studies. The session would stress on new developments in the area, as well as connections with other areas, including sparse representations of/ approximations to signals and statistical learning theory, etc. - Wavelet theory and related topics
**Organizers:**Keiko Fujita (Toyama), Akira Morimoto (Osaka)**E-mail addresses:**keiko@sci.u-toyama.ac.jp, morimoto@cc.osaka-kyoiku.ac.jp**Short description:**The theory of mathematics is important, but it is also important to apply it to real life. This session intends to discuss not only basic theoretical results on mathematics, especially wavelet analysis or Fourier analysis, but also the applied mathematics related to research in engineering, medicine, acoustics, and other various fields. - Fourier analysis and approximation theory
**Organizers:**Sergey Tikhonov (Barcelona), Elijah Liflyand ( Bar-Ilan )**E-mail addresses:**liflyand@gmail.com**Short description:**Fourier analysis and approximation theory are frequently considered as two different, though related areas of analysis. The aim of this session is to bring together researchers from both subjects to open the common ground for the discussion on questions and methods in these areas. The main topics of the session include classical and modern problems in both areas such as convergence problems of the Fourier series/transforms, function spaces, embedding theorems, boundedness of (singular) integral operators, weights, polynomial approximation, polynomial inequalities and applications, orthogonal polynomials, measures (moduli) of smoothness and K-functionals, and applications of these topics. - Harmonic analysis and applications
**Organizers:**Zun-Wei Fu (Linyi), Chang-Xing Miao (Beijing), Li-Xin Yan (Guangzhou),

Da-Chun Yang (Beijing)**E-mail addresses:**zwfu@mail.bnu.edu.cn, miao_changxing@iapcm.ac.cn, mcsylx@mail.sysu.edu.cn,

dcyang@bnu.edu.cn**Short description:**This session offers a forum for scientific exchange scholars working on harmonic analysis in Euclidean spaces, harmonic analysis on groups and particular Lie groups, and harmonic analysis in Clifford algebras, and their applications.

Copyright © ISAAC 2015. All rights reserved.