On a generalization of the Laplace transform

M. S. Rangachari

Compositio Mathematica (1968)

  • Volume: 19, Issue: 3, page 167-195
  • ISSN: 0010-437X

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Rangachari, M. S.. "On a generalization of the Laplace transform." Compositio Mathematica 19.3 (1968): 167-195. <http://eudml.org/doc/88960>.

@article{Rangachari1968,
author = {Rangachari, M. S.},
journal = {Compositio Mathematica},
keywords = {integral equations, integral transforms},
language = {eng},
number = {3},
pages = {167-195},
publisher = {Wolters-Noordhoff Publishing},
title = {On a generalization of the Laplace transform},
url = {http://eudml.org/doc/88960},
volume = {19},
year = {1968},
}

TY - JOUR
AU - Rangachari, M. S.
TI - On a generalization of the Laplace transform
JO - Compositio Mathematica
PY - 1968
PB - Wolters-Noordhoff Publishing
VL - 19
IS - 3
SP - 167
EP - 195
LA - eng
KW - integral equations, integral transforms
UR - http://eudml.org/doc/88960
ER -

References

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  1. D. Borwein [1] Theorems on some methods of summability. Quart. J. Math. Oxford Ser. (2) 9 (1958), 310-316. Zbl0084.05901MR101430
  2. G.H. Hardy, [2] Divergent series. Oxford, 1949. Zbl0032.05801MR30620
  3. G.H. Hardy and E.M. Wright, [3] An introduction to the theory of numbers, 3rd ed., Oxford, 1954. Zbl0058.03301MR67125
  4. A. Jakimovski and C.T. Rajagopal, [4] Applications of a theorem of O. Szász for the product of Cesàro and Laplace transforms. Proc. Amer. Math. Soc.5 (1954), 370—384. Zbl0059.10201
  5. A. Jakimovski, [5] Some remarks on Tauberian theorems. Quart. J. Math. Oxford Ser. (2) 9 (1958), 114-131. Zbl0091.24402MR106374
  6. J. Karamata, [6] Sur les théorèmes inverses des procédés de sommabilité (La théorie des fonctions VI). Actual. Sci. Industr. No. 450. Paris, 1937. Zbl63.0169.02JFM63.0169.02
  7. C.T. Rajagopal, [7] Tauberian oscillation theorems. Compositio Math.11 (1953), 71—82. Zbl0052.05702
  8. C.T. Rajagopal, [8] Some theorems on convergence in density. Publ. Math. Debrecen5 (1957), 77—92. Zbl0079.08802
  9. M.S. Rangachari and Y. Sitaraman, [9] Tauberian theorems for logarithmic summability (L). Tôhoku Math. J. (2) 16 (1964), 257-269. Zbl0129.04501MR172039
  10. M.S. Rangachari, [10] A generalization of Abel-type summability methods for functions. Indian J. Math.7 (1965), 17—23. Zbl0128.28602
  11. L.A. Rubel, [11] Maximal means and Tauberian theorems. Pacific J. Math.10 (1960), 997—1007. Zbl0096.04001
  12. E.C. Titchmarsh, [12] The theory of functions, 2nd ed. Oxford, 1939. Zbl0022.14602JFM65.0302.01
  13. D.V. Widder, [13] The Laplace transform. Princeton, 1946. Zbl0063.08245JFM67.0384.01

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