Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - IV: Extensions to Many Dimensions; Generalized Prolate Spheroidal Functions

Institute of Electrical and Electronics Engineers (IEEE) - Tập 43 Số 6 - Trang 3009-3057 - 1964
D. Slepian

Tóm tắt

Từ khóa


Tài liệu tham khảo

Slepian, Jan., 1961, Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty- I, B.S.T.J., 40, 43

Landau, January, 1961, Prolate Spheroidal Wave Functions, Fourier Analysis and Uncertainty - II, B.S.T.J., 40, 65

Fox, March, 1961, Resonant Modes in a Maser Interferometer, B.S.T.J., 40, 453

Riesz, 1955, Functional Analysis

Szegö, 1959, Orthogonal Polynomials

Bouwkamp, 1957, On Spheroidal Wave Functions of Order Zero, J. Math. Phys., 26, 79, 10.1002/sapm194726179

Slepian , D. Some Asymptotic Expansions for Prolate Spheroidal Wave Functions

Erdelyi, 1953, Higher Transcendental Functions

Kogelnik , H. Modes in Optical Resonators, Section 5.1, chapter in Advances in Lasers Levine , A. K. Dekker Publishers

Slepian , D. Analytic Solution of Two Apodization Problems

Heurtley , J. C. Hyperspheroidal Functions - Optical Resonators with Circular Mirrors, to appear in Proceedings of the Polytechnic Inst. of Brooklyn Symposium on Quasi-Optics June 810, 1964

Born, 1959, Principles of Optics