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Publications Influence

DECOMPOSITION OF HARDY FUNCTIONS INTO SQUARE INTEGRABLE WAVELETS OF CONSTANT SHAPE

- A. Grossmann, J. Morlet
- Mathematics
- 1 July 1984

An arbitrary square integrable real-valued function (or, equivalently, the associated Hardy function) can be conveniently analyzed into a suitable family of square integrable wavelets of constant… Expand

3,109 137- PDF

Wave propagation and sampling theory—Part I: Complex signal and scattering in multilayered media

- J. Morlet, G. Arens, E. Fourgeau, D. Giard
- Mathematics
- 1 February 1982

From experimental studies in digital processing of seismic reflection data, geophysicists know that a seismic signal does vary in amplitude, shape, frequency and phase, versus propagation time To… Expand

928 30- PDF

Wave propagation and sampling theory—Part II: Sampling theory and complex waves

- J. Morlet, G. Arens, E. Fourgeau, D. Giard
- Mathematics
- 1 February 1982

Morlet et al (1982, this issue) showed the advantages of using complex values for both waves and characteristics of the media. We simulated the theoretical tools we present here, using the… Expand

488 9

Sampling Theory and Wave Propagation

- J. Morlet
- Geology
- 1983

In the seismic reflection method, the seismic signal does vary in amplitude, shape, frequency and phase versus the propagation time.

317 9

Transforms associated to square integrable group representations. I. General results

- A. Grossmann, J. Morlet, T. Paul
- Mathematics
- 1 October 1985

Let G be a locally compact group, which need not be unimodular. Let x→U(x) (x∈G) be an irreducible unitary representation of G in a Hilbert space H(U). Assume that U is square integrable, i.e., that… Expand

406 8

TRANSFORMS ASSOCIATED TO SQUARE INTEGRABLE GROUP REPRESENTATION. 2. EXAMPLES

- A. Grossmann, T. Paul, J. Morlet
- Mathematics
- 2 May 1986

We give examples of integral transforme defined through square integrable group representations, described in the first paper of this series. We focus on the Weyl and «ax+b» groups and study their… Expand

114 1- PDF

Wave propagation and sampling theory; discussion and reply

Investigating waves for sedimentary series, Morlet et al. start from basic formulas for elastic waves. I have compared formulas used by Morlet et al. for: (a) compressional velocity of elastic waves,… Expand

16

Reply by J. Morlet to J. D. Laski

- J. Morlet
- Mathematics
- 1 September 1984

Point (a): I agree with this remark. Here for 3‐D propagation medium, one must use the bulk modulus K rather than Young’s modulus E, which must be strictly restricted to the case of a 1‐D propagation… Expand

[Five years of chemical control of anthracnose in French West Indies [Colletotrichum gloesporioides]]. [French]

- L. Palcy, J. Morlet, B. J. Theodore
- Geography
- 1986