Local Paley-Wiener theorems for functions analytic on unit spheres

Inverse Problems

Volumn 23, Issue 2, 2007, Pages 463-474

  Damelin, S B ^a   Devaney, A J ^b  

^a GEORGIA SOUTHERN UNIVERSITY   (United States)

^b Northeastern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONFORMAL MAPPING; FOURIER ANALYSIS; FUNCTIONS; INTEGRAL EQUATIONS; PROBLEM SOLVING; THEOREM PROVING;

EUCLIDEAN SPACES; FOURIER INTEGRALS; PALEY-WIENER THEOREMS; SUFFICIENT CONDITIONS;

LINEAR ALGEBRA;

EID: 33947428451     PISSN: 02665611     EISSN: 13616420     Source Type: Journal    
DOI: 10.1088/0266-5611/23/2/001     Document Type: Article

References (23)

1. Apostal T 1960 Mathematical Analysis (Reading, MA: Addison-Wesley)
2. Bochner S and Martin W 1948 Several Complex Variables (Princeton, NJ: Princeton University Press)
3. Colton D and Kress R 1998 Inverse Acoustic and Electromagnetic Scattering Theory (Applied Mathematical Sciences vol 93) (Berlin: Springer)
4. Devaney A J 1978 Radiating and non-radiating sources and the fields they generate J. Math. Phys. 19 1526-31
5. Devaney A J and Wolf E 1973 Radiating and non-radiating sources and the fields they generate Phys. Rev. D 8 1044-7
6. Hormander L 1966 An Introduction to Complex Analysis in Several Variables (Princeton, NJ: Van Nostrand-Reinhold)
7. Hormander L 1996 The Analysis of Partial Differential Operators I (Berlin: Springer)
8. Katznelson Y 1968 An Introduction to Harmonic Analysis (New York: Dover)
9. Kusiak S and Sylvester J 2003 The scattering support Commun. Pure Appl. Math. 56 1510-55
10. Kusiak S and Sylvester J 2005 The convex scattering support in a background medium SIAM J. Math. Anal. 36 1142-58
11. Lewis R 1969 Physical optics inverse diffraction IEEE Trans. Antennas Propag. 17 308-14
12. Miller P Notes on Asymptotics Analysis chapter 3 (http://www.umich.edu/ miller)
13. Morse P H and Feshbach H 1953 Methods of Theoretical Physics Parts I and II (New York: McGraw-Hill)
14. Newton R G 1982 Scattering Theory of Waves and Particles (New York: Springer)
15. Paley R and Wiener N 1934 Fourier Transforms in the Complex Domain (American Mathematical Society Colloquium Publications vol 19) (Providence, RI: American Mathematical Society)
16. Porter R P and Devaney A J 1982 Holography and the inverse source problem J. Opt. Soc. Am 72 327-30
17. Ronkin L I 1974 Introduction to the Theory of Entire Functions of Several Variables (Translations of Mathematical Monographs vol 44) (Providence, RI: American Mathematical Society)
18. Rohkin L I 1989 Entire functions Encyclopedia of Mathematical Sciences Vol 9: Several Complex Variables III ed G M Kenkin (Berlin: Springer)
19. Stein E and Weiss G 1971 Introduction to Fourier Analysis on Euclidean Spaces (Princeton, NJ: Princeton University Press)
20. Stratton J A 1941 Electromagnetic Theory (New York: McGraw-Hill)
21. Sylvester J 2006 Notions of support for far fields Inverse Problems 22 1273-88
22. Titchmarsh E C 1939 The Theory of Functions (London: Oxford University Press)
23. Wolf E and Mandel L 1995 Optical Coherence and Quantum Optics (Cambridge: Cambridge University Press)