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FUNDAMENTOS MATEMÁTICOS

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ANÁLISIS ESPECTRAL
: TEORÍA




R⸠丮⁂牡cewe汬⸠
The Fourier Transform and Its Applications
.


McGraw
-
Hill. New York, 1978.




䔮⁏⸠.物gha洮m
The Fast Fourier Transform
.


Prentice Hall. New Jersey, 1988.




D. R. Brillinger.
Time series data analysis and theory
.


Holt, Rinehart and Winston. New York, 1975.




W⸠䔮EBye牬y⸠
An Elementary treatise on Fourier's series and Spherical, cylindrical and
ellipsoidal harmonics
.


Dover Publications. New York, 1959.




䄮⁃懱A摡⁖楬 a爮r
Series y transformada de Fourier y aplicaciones. Vol. I
.


Edita la Universidad de Granada. Granada, 1995.




䔮⁗⸠䡯扳潮⸠
The theo
ry of spherical and elipsoidal harmonics
.


Cambridge University Press. Cambridge, 1955.




E. C. Ifeachor and B. W. Jervis.
Digital Signal Processing. A Practical Approach
.


Addison
-
Wesley. New York, 1993.




䜮⁍⸠Ge湫楮n⁡湤⁄⸠n⸠.a瑴献s
Spectral Analysis and Its Applications
.


Holden Day. San Francisco, 1968.




L⸠䴮⁋潯灭.献s
The Spectra Analysis of Time Series
.


Academic Press. New York, 1974.




S⸠L⸠䵡牰re⸠
Digital Spectral Analysis With Applications
.


Prentice Hall. New Jersey, 1987.




A. V. Oppenheim and R. W. Schafer.
Digital Signal Processing
.


Prentice
-
Hall. New Jersey, 1975
.




A. Papoulis.
The Fourier integral and its applications
.


McGraw
-
Hill Book Company. New York, 1962.




䴮⁂⸠.物r獴sey⸠
Spectral Analysis
.


Academic Press. London, 1989.



2



L. R. Rabiner and B. Gold.

Theory and Application of Digital Signal
.


Prentice
-
Hall. New Jersey, 1975.




R⸠.⸠.a浩牥z⸠
The FFT
: Fundamentals and Concepts
.


Prentice Hall. New Jersey, 1985
.




R⸠.瑲楣桡牴r⸠
A Guide to Distribution Theory and Fourier Transforms
.


CRC Press. Boca Raton, Florida, 1995.




J⸠.⸠Wa汫敲⸠
Fast Fourier Transforms
.


CRC Press. Boca Raton,
Florida, 1995.




䠮⁊⸠.楬c潸⁡湤⁄⸠n⸠Mye牳⸠
An Introduction to Lebesgue Integration and Fourier Series
.


CRC Press.
Boca Raton, Florida, 1995.




䄮AI⸠Zaye搮d
Advances in Shannon's Sa
mpling Theory
.


CRC Press. Boca Raton, Florida, 1995.



ANÁLISIS ESPECTRAL EN FÍSICA Y GEOFÍSICA




M. Bath.
Spectral Analysis in Geophysics
.


Elsevier Scientific Publishing Company. Amsterdam, 1974.




䄮⁊⸠.e牫桯r琮t
Applied seismic wave theory
.


Elsevier Science Publishers. Amsterdam, 1987.




J. F. Claerbout.
Fundamentals

of geophysical data processing
: with application to
petroleum prospecting
.


McGraw
-
Hill. New York, 1976.




E. R. Kanasewich.
Time sequence analysis in Geophysics
.


University of Alberta Press. Edmonton, 1981.




伮⁋畬棡湥欮k
Introduction of Digital Filtering
in Geophysics
.


Elsevier. Amsterdam, 1976.




䐮⁐敲c楶慬⁡湤n䄮⁗a汤敮⸠
Spectral Analysis for Physical Applications
.


Cambridge University Press. Cambridge, 1995.




䔮⁁⸠.潢楮o潮⁡湤n
吮⁓⸠䑵.牡湩⸠
Geophysical Signal Processing
.


Prentice Hall. New Jersey, 1986.




E. A. Robinson and S. Treitel.
Geophysical signal analysis
.


Prentice
-
Hall, Englewood Cliffs. New York, 1980.




F⸠.c桥牢a畭
䕤⸩⸠
Basic Concepts in Digital Signal Processing for Seismologists
.


Lectu
re Notes in Earth Sciences Ser.
: Vol. 53.
Springer
-
Verlag. Berlín, 1994.




3

ANÁLISIS ESPECTRAL EN BIOLOGÍA Y MEDICINA




S⸠䅢扯畤ⰠI⸠B牵re牭rn a湤n䐮DSa牤e栮h
Frecuency and Time Domain Analysis of Airflow
Breath Patterns in Patients with Chronic Obstructive Airway Disease
.


Comput. and Biomed. Res., Vol. 19, No. 3, pp. 266
-
73. June 1986.




L⸠Ba獡n漠o湤⁐⸠佴瑯湥汬漮.
Real
-
Time FFT to Monitor Muscle Fatigue
.


IEEE Transactions on Biomedical Engineering, Vol. 33, No. 11, pp. 1049
-
51, 1986.





䐮⁇⸠.桩h摥牳⸠
Biomedical Signal Processing
.


Prentice Hall. New J
ersey, 1989.




䴮M 奯獴Ⱐ F⸠ J⸠ B牥浮敲Ⱐ R⸠ J⸠ 䡥汭e爠 a湤n 䴮M 䔮E C⸠ C桩湯⸠
The Effect of Smoothing
Functions on Data Obtained from a FFT
.


Behav. Res. Methods Instrum. & Comput., Vol. 18, No. 2, pp. 253
-
66, April, 1986.



COMP
UTACIÓN DEL ANÁLISIS ESPECTRAL





䄮A B牡獳s a湤n 䜮G S⸠ Pa睬wy⸠
Two and Three Dimensional FFTs on Highly Parallel
Computers
.


Parallel Comput., Netherlands, Vol. 3, No. 2, pp. 167
-
84, May 1986.



††
䄮⁂畳ug楮⸠
FFT Software for the IBM PC
.


IEEE Micro, Vol. 6, No. 1, p. 6, 1986.




B⸠.物r獴sey⸠
Fast Fourier Transform in Basic
.


Electronic Engineering, Vol. 58, No. 711, pp. 33
-
34, 1986.



TEXTOS DE NIVEL BÁSICO




P. Abellanas.
Elementos de matemáticas
.


Gráficas Alonso. Madrid, 1970.




吮⁍⸠䅰潳瑯T⸠
Análisis Matemático
.


Reverté. Barcelona, 1993.




S⸠䬮⁂e牢e物r渮n
Introducción al espacio de Hilbert
.


Teide. Barcelona, 1977.




䐮⁅D⁂潵牮e y⁐⸠.⸠䭥湤n汬⸠
Análisis Vectorial y Tensores Cartesianos
.


Limusa. México, 1976.




W⸠䔮EBoyce y R⸠C⸠D楐物浡⸠
ECUACIONES DIFERENCI
ALES

y problemas con valores
en la frontera
.


Limusa. México, 1983.




F⸠摥氠la獴s汬漮o
Análisis Matemático II
.


Alhambra. Madrid, 1980.



4



A. Doneddu.
Curso de Matemáticas. Algebra y Geometría
.


Aguilar. Madrid, 1978.




F⸠䝡牣⁃í獴牯sy⁁⸠G畴ué牲ez⁇ z⸠
Cálculo Infinitesimal II. Vols. 1 y 2
.


Pirámide. Madrid, 1981.




W⸠䄮⁇牡湶楬汥⸠
Cálculo diferencial e integral
.


Limusa. México, 1980.




䐮⁋汥瑥湩欮n
Problemas de Geometría Analítica
.


MIR. Moscú, 1979.




䄮AL楣i湥牯ricz⸠
Elementos de
Cálculo Tensorial
.


Aguilar. Madrid, 1968.





嘮VL泭渠y⁅⸠ 潲湩o欮k
Fundamento
s del Análisis Matemático
.


MIR. Moscú, 1991.




I⸠.牯獫畲ia歯瘮k
Problemas de algebra lineal
.


MIR. Moscú, 1986.




J⸠.a湣桯⸠
Algebra Lineal y Geometría
.


Librería Pons. Zaragoza, 1978.




I⸠.⸠.潫潬湩歯晦⸠
Análisis Tensorial
.


Index. Madrid, 1979.




䴮⁓灩癡欮p
Calculus
.


Reverté. Barcelona, 1980.



CÁLCULO NUMÉRICO




䐮⁇⸠䑵.fy⸠
Transform Methods for Solving Partial Differential Equations
.


CRC Press. Boca Raton, Florida, 1995.




央⁆⸠䡵.ng⸠
Mathematics
.


CRC Press. Boca raton, Florida, 1995.




S⸠䜮⁋牡湴n⸠
Partial Differential Equations and Complex Analysis
.


CRC Press. Boca Raton, Florida, 1995.




C⸠Lancz潳⸠
Linear Differential Operators
.


Van Nostrand. London, 1961.




䜮GI⸠䵡rc桵欮

Numerical Methods and Applications
.


CRC Press. Boca Raton, Florida, 1995.




吮⁒T歩ka步Ⱐ,⸠
Sa瑯⁥⁙⸠䡡g楷ira⸠
Applied mathematics for Earth Scientists
.


Terra Sc. Pub. Co., Tokio, 1987.



5



K. Sigmon.
Matlab Primer
.


CRC Press.
Boca Raton, Florida, 1994.



MANUALES DE FÓRMULAS Y TABLAS




䴮⁁扲a浯睩mz⁡湤nI⸠䄮⁓Aeg畮⸠
Handbook of Mathematical Functions
.


CRC Press. Boca Raton, Florida, 1995.




W⸠䠮⁂eye爮r
CRC Standard Mathematical Tables and Formulae
.


CRC Press. Boca Raton, Florida, 199
1.




䐮⁈⸠䵥湺e氮l
Fundamental Formulas of Physics. Vol. 1 y 2
.


Dover. New York, 1960.




䴮⁒⸠.灩敧e氮l
Manual de tablas y fórmulas matemáticas
.


McGraw
-
Hill. México, 1988.