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Perfil investigador
Esp
Dr. Juan Héctor Arredondo Ruiz

Professor
Departament of Mathematics

Division of Basic Sciences and Engineering


Level 2
Member of the National System of Researchers
(SNII)

Physics-Mathematics and Earth Sciences



Iztapalapa Campus

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Sustainable Development Goals

• 4 Quality Education

• 7 Affordable and Clean Energy

• 11 Sustainable Cities and Communities


Research interests

• Spectral theory of operators
• Functional analysis
• Harmonic analysis
• Theory of generalized integration
• Fourier transform

Profile

Dr. Juan Héctor Arredondo Ruiz holds a Ph.D. in Theoretical Physics from the University of Vienna (Austria), as well as a Master’s degree and a Bachelor’s degree in Mathematics from the Universidad Nacional Autónoma de México (UNAM). He has been a full-time faculty member at the Universidad Autónoma Metropolitana Unidad Iztapalapa since 1988.

He serves as a Full-Time Professor (Level C) in the Department of Mathematics within the Division of Basic Sciences and Engineering at the Universidad Autónoma Metropolitana Unidad Iztapalapa.

His research encompasses mathematical physics, functional analysis, nonlinear semigroup theory, and the development of computational methods for rigorous mathematical proofs. His recent contributions focus on advanced extensions of Fourier analysis and applications of the Fourier Transform in both classical and applied mathematical theory.



Information provided by the academic staff

Research interests

• Spectral theory of operators
• Functional analysis
• Harmonic analysis
• Theory of generalized integration
• Fourier transform

Academic Work

On the following pages you can consult the research work:






Courses taught by the professor in recent trimesters

*Courses are conducted in spanish

Num.Trim.Course NameLevel
1
25P
Calculo Avanzado IILicenciatura
2
25I
Análisis FuncionalPosgrado
3
25I
Proyecto de Investigación IIILicenciatura
4
24O
Calculo DiferencialLicenciatura
5
24O
Proyecto de Investigación IILicenciatura
6
24P
Calculo Avanzado IILicenciatura
7
24P
Proyecto de Investigación ILicenciatura
8
24I
Calculo Avanzado IIILicenciatura
9
23O
Calculo Avanzado IIILicenciatura
10
23P
Calculo Avanzado IILicenciatura
11
23I
Calculo de Varias Variables IILicenciatura
12
22O
Calculo de Varias Variables ILicenciatura
13
22O
Variable Compleja ILicenciatura
14
22P
Calculo Avanzado IILicenciatura
15
22P
Trabajo de Investigación VIPosgrado
16
22I
Calculo Avanzado ILicenciatura
17
22I
Trabajo de Investigación VPosgrado
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Universidad Autónoma Metropolitana, 2026.