Content-Type: multipart/mixed; boundary="-------------1811131744498" This is a multi-part message in MIME format. ---------------1811131744498 Content-Type: text/plain; name="18-108.comments" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="18-108.comments" 11 pages, to appear in "Analysis and Operator Theory. Dedicated in Memory of Tosio Kato 100th Birthday" (Themistocles M. Rassias and Valentin A. Zagrebnov, eds.), Springer ---------------1811131744498 Content-Type: text/plain; name="18-108.keywords" Content-Transfer-Encoding: 7bit Content-Disposition: attachment; filename="18-108.keywords" Schr dinger operators, leaky graphs, three dimensions, wave operators, scattering theory, trace class perturbations ---------------1811131744498 Content-Type: application/pdf; name="3Dwave_rev.pdf" Content-Transfer-Encoding: base64 Content-Disposition: inline; filename="3Dwave_rev.pdf" JVBERi0xLjUKJeTw7fgKMTIgMCBvYmoKPDwvRmlsdGVyL0ZsYXRlRGVjb2RlL0xlbmd0aCAyNTg2 Pj4Kc3RyZWFtCnjapVltk9u2Ef7eX6FvlaYWSgIESNbTmdh1mjhpM07uMpmp7Q+QBJ1o80XmS853 v77PYkFJPNPnuB17RgtgF1gsdp/d5S0+LOJFhH/xIpX4Hy221eL59eKv/4wXsRZ5EsnF9X5hpEiN XqxVIrJcLa53r5dXW9v3ri3qm9VaJvmyqfGro2Xp7PtVnCzvePq2aFdxunQdD4vAtSsqV3fFKNQf wGWWzq3eXv+Aw+UiF7mRhs6O/LFGSX/sq1Wsl3Ylo+XvRLmS9/32Y+1a3svWOyau7soVKWCZ5ceV SqDlzr3zh3x7Pd7zfNR4TRkZkcSxP/DZputbu+1nNEukiHIyH/H9tsqipVutdaSW2wZ325FCOkpw 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