The heat kernel transform for the Heisenberg group

dc.creatorKroetz, Bernhard
dc.creatorThangavelu, Sundaram
dc.creatorXu, Yuan
dc.date2004-01-19
dc.date2005-02-15
dc.date.accessioned2026-07-07T06:23:16Z
dc.date.available2026-07-07T06:23:16Z
dc.descriptionThe heat kernel transform H_t for the Heisenberg group is studied in detail. The main result shows that the image of H_t is a direct sum of two weighted Bergman spaces whose associated weighted functions are of oscillatory nature, i.e. attain positive and negative values.
dc.description26 pages, 1 figure.Extended final version. To appear in JFA. We would like to express our sincere gratitude to a referee who read the manuscript very carefully and pointed out several inaccuracies, gaps and mistakes
dc.identifierhttps://arxiv.org/abs/math/0401243
dc.identifierhttp://arxiv.org/abs/math/0401243
dc.identifierJFA 225 (2) (2005), 301-336
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96170
dc.subjectClassical Analysis and ODEs
dc.subjectFunctional Analysis
dc.subject22E30
dc.titleThe heat kernel transform for the Heisenberg group
dc.typetext

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